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## Class 6 (Foundation)

# Division word problem: field goals

CCSS.Math:

Sal solves a division word problem. Created by Sal Khan.

## Want to join the conversation?

- I don't get it(30 votes)
- Okay! This is basically division, but it is changed into words. You just need to interpret it correctly. First, you must know that if there are certain keywords, you know it is a division word problem. If you hear divided by, split, or share, you are probably doing division.

Then, you just need to know: what are the numbers, and how can you arrange them so that it makes sense? For the question in the video, you can cross out the 50 in the 50-yard field goals in your mind, because we can identify that it**isn't**a number in the problem, it is just a type of kick. Now, to find the total number of kicks, we don't need the 16 games fact, either. We will use it later.

Okay, so we can now know that we just need to have 144 points from kicks, and*each*of them are worth 3 points. To find the number of kicks, it would seem unlikely to divide 3 by 144, because we would get a decimal number of kicks, which isn't possible. So we divide 144 by 3. You can use a calculator or use division to get the answer. Either way, you should get 48. But 48 is the**total**number of kicks, and we just want in one game.

Now we use the information that he played in 16 games. If he got 48 in total, and he played 16 games, then we divide 48 by 16 to get 3. Again, we don't want to have 16 divided by 48, because that would get a small number, and you can't get a decimal number of points. It has to be an integer. So 48 divided by 16. You can calculate it or punch it into a calculator, but the answer should always be 3.

Hope this helps!(16 votes)

- Can someone explain this in an easier way so I can understand how to do this? And is there a different way to do this?(13 votes)
- Well, maybe if I further explain what Sal did, and why he did it, the problem might make more sense to you.

Let's start with the facts that are given. We know that Blair scored 144 points this season. We also know that every field goal he scored was worth three points. Finally, we know that Blair played 16 games this season. Everything else in the word problem is background information that is not relevant.

We want to find out how many field goals Blair scored in each game. To do this, Sal divides 144, which is the number of**points**Blair scored, by three, which is the number of points scored**every time he kicked the ball into the goal**.

Dividing 144 by 3, gets us the number of field goals that he scored, which is**48**. But, we want to find the number**of goals scored in each game**. Thus, Sal divides**48**, which is the number of goals scored, by**16**which is the number of games that Blair played.

Doing this allows us to find the amount of field goals scored in each game, which is 3.

I believe that the way Sal approached this problem is the easiest way to solve it.

I hope this helps!(12 votes)

- Can someone help me with this pleeaseeeee?(7 votes)
- Okay! This is basically division, but it is changed into words. You just need to interpret it correctly. First, you must know that if there are certain keywords, you know it is a division word problem. If you hear divided by, split, or share, you are probably doing division.

Then, you just need to know: what are the numbers, and how can you arrange them so that it makes sense? For the question in the video, you can cross out the 50 in the 50-yard field goals in your mind, because we can identify that it isn't a number in the problem, it is just a type of kick. Now, to find the total number of kicks, we don't need the 16 games fact, either. We will use it later.

Okay, so we can now know that we just need to have 144 points from kicks, and each of them are worth 3 points. To find the number of kicks, it would seem unlikely to divide 3 by 144, because we would get a decimal number of kicks, which isn't possible. So we divide 144 by 3. You can use a calculator or use division to get the answer. Either way, you should get 48. But 48 is the total number of kicks, and we just want in one game.

Now we use the information that he played in 16 games. If he got 48 in total, and he played 16 games, then we divide 48 by 16 to get 3. Again, we don't want to have 16 divided by 48, because that would get a small number, and you can't get a decimal number of points. It has to be an integer. So 48 divided by 16. You can calculate it or punch it into a calculator, but the answer should always be 3.

Hope this helps!(2 votes)

- i m stuk.......

bob buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag.

How many bags will have 6 berries? 😁thnxxxxxx(6 votes)- Hi @Cammenga. In this scenario, you have a
**word problem**. One key thing that you want to do is find the important information in this problem.

There are**Two Cartons**, and in one there is 26 berries and the other there is 19 berries. We can add up the berries:*26 + 19 = 45*berries in total.

Now we are told that there needs to be 6 berries in each bag for as many bags possible. For this, we can do 45 divided by 6, or 45/6. This leaves us with 7 R3.**This means that there are 7 bags that have 6 berries and 3 berries left over**.

Hope this helps! -`Johnny Unidas`

(6 votes)

- I don't get it. plz make another video with basic instructions(7 votes)
- When your trying to learn 6th grade stuff when in fifth:😵💫😵💫😵💫(5 votes)
- That’s really a good idea so when you go into sixth grade you will be prepared!(0 votes)

- what does wsg mean?? im confused-(3 votes)
- Okay! This is basically division, but it is changed into words. You just need to interpret it correctly. First, you must know that if there are certain keywords, you know it is a division word problem. If you hear divided by, split, or share, you are probably doing division.

Then, you just need to know: what are the numbers, and how can you arrange them so that it makes sense? For the question in the video, you can cross out the 50 in the 50-yard field goals in your mind, because we can identify that it isn't a number in the problem, it is just a type of kick. Now, to find the total number of kicks, we don't need the 16 games fact, either. We will use it later.

Okay, so we can now know that we just need to have 144 points from kicks, and each of them are worth 3 points. To find the number of kicks, it would seem unlikely to divide 3 by 144, because we would get a decimal number of kicks, which isn't possible. So we divide 144 by 3. You can use a calculator or use division to get the answer. Either way, you should get 48. But 48 is the total number of kicks, and we just want in one game.

Now we use the information that he played in 16 games. If he got 48 in total, and he played 16 games, then we divide 48 by 16 to get 3. Again, we don't want to have 16 divided by 48, because that would get a small number, and you can't get a decimal number of points. It has to be an integer. So 48 divided by 16. You can calculate it or punch it into a calculator, but the answer should always be 3.

Hope this helps!(1 vote)

- I don't really understand I need help.(1 vote)
- its ok...sometimes things are confusing...tbh i would look up another youtube video for help bc khan academy is rly great but some people just think differently(1 vote)

- Hi.Im not a native speaker ...I had alot of problem understanding the question.Im really stressed if such a professional question would be asked in SAT exam!....Would you help me through this? in our country we don't have this game and I don't even understand the meaning of special sport words for it.....Im studying for SAT and starting from the beginning....:(.....is it going to be such questions in SAT exam guys?(2 votes)
- You don't really have to understand what the game is about. The important things are that:

•**144 points**was scored (by Blair)

• Field goals, in American football, gives**3 points**.

•**16**games were played

The problem is about, if we are given the total and have a "steady increase" of a same value, then we can find how many times the action (or scoring) was done. Since each time 3 points was earned, then we can divide 144 by 3 to find how many field goals were scored. As in the video, Sal Khan makes the calculations and shows that 144 divided by 3 equals 48, and therefore 48 field goals were scored. (Or, Blair scored 3 points 48 times, thus earning a total 144 points through field goals.) And since we are finding the average number of field goals per game, we divide 48 by 16 which gives us 3 (field goals per game). In terms of multiplication, it means:

• 3 points are earned/awarded per field goal (1×3).

• An average of 3 field goals were scored (by Blair) per game (3×3).

• 16 games were played in total (9×16).

Here the calculations fit: 3×3=9, and 9×16=144.

If you are ever faced with this sort of division word problem, just know the following:

• The total amount. In the above case, 144.

• The value(s) you need to divide by (how many "equal parts" the total will be split into).

So in summary, Sal Khan divided the 144 total points by 3, since there were 3 points per field goal. We get 48, and this gave us how many field goals were scored (through the entire season). Then, dividing 48 by 16, we find that 3 field goals were scored per game (on average).

Other than the intro, the real calculations in the video start at about1:11. Jump to that time if you wish.

-X-

P.S. Below is a short explanation of what American football is. You do not have to read it to understand the division, for it is not related to the math.

Football, in America, is not the "Football" in any of the other countries which you kick the ball along the way and into the opponent's goal to score, and that no player may use their hands (except the goalies). In America, football is the ball being kicked from one side to the other, this other side catching it with their hands, and charging forward (while holding the ball) in an attempt to tackle through the opponent's players (who are charging toward the team attempting to score) to reach the opposite side (and thus scoring, 6 points; this is called a "touch-down"). The field goal is another way to score: by having the ball placed, and running over to kick it high, scoring 3 points if it goes in between two high bars.(2 votes)

- Why don't we take 144 divide by 16 = 9 and then take the 9 then divide by 3 which also equals to 3?(2 votes)
- Yes you’re correct that this method also works. It is common for a math problem to have multiple correct solution methods that lead to the same correct answer.

Have a blessed, wonderful day!(2 votes)

## Video transcript

Blair scored 144 points
this football season. He scored all his points
with 50-yard field goal-- that's actually
pretty impressive. 50. That's close to record breaking. Even in the National
Football League, I think the record is like
60 yards or something. So Blair seems like a fairly
impressive individual. He scored all his points with
50-yard field goal kicks. I'm just underlining
that, because I'm impressed by how far
those field goals are, which are each worth 3 points. So a field goal in
American football, I should clarify
for those of you from other countries who think
we're talking about soccer, a field goal is
worth 3 points each. He played in 16
games this season. How many field goals did
Blair make in each game? Assume he made the same
number in each game. So this guy is an incredibly
consistent field goal kicker. He makes 50-yard field goals. He makes the same in every game. So let's think about
how many field goals did he make in each game. So there's a couple of
ways you can do this. We could first figure
out, well, how many field goals did he
make in the season? So he scored 144 points total. And if we divide that by 3,
we divide that by the fact that a field goal gets you
3 points per field goal. So the total number
of points divided by the points per
field goal, this should give us the total
number of field goals he had. So this right over here is
going to be equal to-- so 3 goes into 144. Let me do this on the
side right over here. 3 goes into 144. 3 doesn't go into 1. It goes into 14 four times. 4 times 3 is 12. Subtract 14 minus 12
is 2, bring down a 4. 3 goes into 24 perfectly. It goes exactly 8 times. 8 times 3 is 24. We have no remainder. So 144 divided by
3 is equal to 48. So all season, he has
kicked 48 field goals. Now, we still haven't
answered the other question. How many did he
make in each game? And we're assuming it's the
same number in each game. So this is the total
number across 16 games. To find out the average
he makes in each game, we divide this by 16. So let's take 48 total field
goals divided by 16 games is going to be-- well,
48 divided by 16 is 3. This is equal to 3
field goals per game. And we're done. How many field goals did
he make in each game? He scored 3.