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## 6th grade

### Course: 6th grade > Unit 6

Lesson 9: Writing basic algebraic expressions word problems# Writing basic expressions word problems

Susie runs a race at 5 miles per hour for t hours. To find the distance, multiply her speed by time (5t). In a poker game, winnings are split among p players, so each gets $548/p. Phil's net winnings are x dollars minus the $100 entry fee. Hillary makes 48 chocolate chip cookies and y sugar cookies, totaling 48+y cookies.

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- Please help me I can’t seem to solve this question!

The attendance at a cricket match was 7000.

There were x adults and y children at the match.

a) Make an equation for this.

The price of an adult ticket for a match was £20 and for a child £8.

The total income from selling tickets was £123200

b) Make another equation from the information given above.

c) Solve your two equations to find the number of adults and children at the cricket match.

Please help me solve it! I’m really confused for part (c)(12 votes)- Let me walk you through this step by step. Firstly, we know that the value of x and the value of y have to add up to 7,000. Therefore, we know our first equation (for part A) must be x + y = 7,000 or y + x = 7,000. Since we are adding, it does not matter which way we write this. Secondly, since the value of the adult tickets must be ([number of adult tickets] * [cost of adult ticket]) + ([number of child tickets] * [cost of child ticket]). This gives us (x * 20) + (y * 8), so Part B's equation must be 20x + 8y = 123,200. Now from there, I'm afraid that I'm not much help! I think I learned a simple way to solve this at some point or another, but I must have forgotten. However, my advice would just be trial&error/guess&check. Pick 2 random numbers that add up to 7,000 and plug them in to the equation for part B as the values for x and y, and see what answer your equation yields. If it's exactly 123200, then congrats, you are a master of guessing! If it's too high, try making the x value smaller and the y value higher. If it's too low, try making the y value smaller and the x value higher. Keep trying until you get it. Hope this helps you, and stay safe!(29 votes)

- 48 Chocolate Chip Cookies & y Sugar Cookies.

Sal, thank you for making me hungry.

But to be on topic, when your making that many chocolate chip, wouldn't you run out of sugar for the sugar cookies?

(And now I want some cookies and milk..........🍪🥛)(21 votes) - what is the easiest way to learn this?(8 votes)
- Product is multiplication, more or add or increase is addition, less or decrease is subtraction, and split or quotient is division.(9 votes)

- how do I make the division symbol on the computer(6 votes)
- you use a fraction symbol(2 votes)

- Easy, first get 2 numbers. I'll get 6 and 3. Now we choose a symbol now these are the main 5 symbols used in mathematics, plus/add, subtract/minus multiply division and exponent. Now we choose 1, I chose . Now put them all together. 6-3. now we do the question. 6-3=3. I hope this answers your question(4 votes)
- nine less than the quotient of twice a number and four(3 votes)
- Let’s call “a number” x. Twice a number is 2x, and quotient means division, so the quotient of twice a number and four is 2x/4.

“Nine less than” means that we subtract 9 (instead of subtracting from 9).

So nine less than the quotient of twice a number and four is 2x/4 - 9. If we are asked to simplify, the answer would become x/2 - 9.(3 votes)

- Can you help me please the question is

Suzie paid a total of $324 for x tickets to a rock festival

How much did each ticket cost?

Write your answer as an expression(2 votes)- $324/x is the expression(3 votes)

- no cheese is better(3 votes)
- I agree no cheese is better.(1 vote)

- Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising \$500$500dollar sign, 500 by selling ccc boxes of candy. For every box they sell, they make \$2.75$2.75dollar sign, 2, point, 75.(3 votes)
- upvote if your apart of the homeschool gang(2 votes)

## Video transcript

- Let's do a few examples
of writing expressions to help us solve word problems. So they tell us Susie ran a race. She ran five miles an hour, and the race took her t hours to complete. How long was the race? Write your answer as an expression. Alright, if we're trying to
figure out the number of miles, you'd want to take her speed,
which is in miles per hour, so five miles per hour
times the number of hours. So the number of hours is t, so you can literally just
write that as five t. Five t literally means five times t. Now another way you could have done it is you could have used this
little dot symbol here. This is not a decimal, it
sits higher than a decimal, and it means multiplication,
five times t, either of these, five dot t or five t means
five times t, it makes sense. You take your speed times your time, and you'll figure out how
far you actually went. Let me check my answer here. Let's do a few more of these. The Running Aces card team won $548 playing poker in tournaments last year. The winnings were split
evenly among the p players. How much of money did each, I guess you'd say how much money, not how much of money, it's a grammatical error. How much money did each player receive? Write your answer as an expression. So they had $548, and they
had to split it evenly among the p players, so
they're gonna split it, so I'm just gonna go backslash here, or I literally could have just clicked on this as well, 548 divided by p. I'm gonna divide the
amount of money we got amongst the number of players. So that's how much money each
player actually receives. Let's check the answer,
we've got it right. Let's do a few more of these. Phil received a prize of x
dollars from a poker tournament. The tournament cost him $100 to enter. What were Phil's net
winnings from the tournament? Write your answer as an expression. Alright, his net winnings, okay. He gets x dollars, but
it's not like he just walks away with x, I means,
he does get the x dollars, but he had to pay something
to enter the tournament. He had to pay $100 to
enter the tournament, so for example, if x
was $105, he wins $105, but if he had to spend $100
to enter the tournament, then his net would be 105 minus 100, or five dollars, so this
is giving us the net. We're getting how much he got, but we're subtracting how
much he actually had to spend. Let's do one more of these. Hillary made 48 chocolate chip
cookies and y sugar cookies. How many total cookies did Hillary make? Well, 48 chocolate chip cookies, and then you add that, the number of sugar cookies she made, and there you have it. That's the total number
of cookies she made. If she made two sugar
cookies, y would be two, and she would've made
a total of 50 cookies. If she made 100 sugar
cookies, then this would be 100 plus 48 which would
be 148 total cookies. So hopefully that gives you
a little bit of practice, and I encourage you to do this exercise so you get a lot more practice.