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### Course: 4th grade foundations (Eureka Math/EngageNY) >Unit 3

Lesson 3: Topic D: Foundations

# 2-step word problem: truffles

Sal solves a two-step word problem by drawing a picture and creating an equation. Created by Sal Khan.

## Want to join the conversation?

• Why had the equation become 4*6=g*3 ?
(4 votes)
• Each guest ate 3 truffles, so the total number of truffles eaten is the number of guests times 3 or g*3.
Akshay bought 4 boxes of truffles, each box contained 6 truffles, so the total number of truffles bought is 4*6. Now, the total number of truffles eaten is the same as the total number of truffles bought, so 4*6 = g*3. Now you can figure out how many guests there are.
(13 votes)
• What are truffles?
(9 votes)
• Truffles are chocolate 🍫🍫🍫. Yummy yummy
(14 votes)
• do you use an x for a times sign?
(4 votes)
• In this grade it means "times", but later on "x" sometimes means an unknown number along with any other letter.
(6 votes)
• The first question was so easy I did it in my head.
(5 votes)
• Me to!
(3 votes)
• At why did he do g times 3 i know what it means but it has nothing to do with the answer it is just supposed to be 4 times 6 divided by 3.
(3 votes)
• Sal shows at the basic algebraic expression necessary to solve this problem, that the number of total truffles (4 X 6) is equal to three times the number of total guests at the party (3 X G). The point is that dividing the total number of truffles (24) by the number eaten by each guest (3) gives you the total number of guests. But a simpler, more basic way of thinking about it is, What number of guests multiplied by three (to represent the amount of truffles each eats) would give the total number of truffles (twenty-four)? Division and multiplication are basically complementary, reverse operations similar to addition and subtraction.
(4 votes)
• i got it first try
(3 votes)
• wheres the multiplication sign on the keyboard
(3 votes)
• There are different ways of showing multiplication on your keyboard. You can use just an x, like 6 x 2. You can also use an asterisk, like 6*2. Or you can use parentheses, like 6(2).
(1 vote)
• Why every single time I get something wrong on the practice I have to redo the whole thing.
(2 votes)
• To make sure you really got the hang of whatever you were doing. It's good to know your stuff.

Hope this helps!
(1 vote)
• what if questions are to easy?
(2 votes)
• Its 4!
(1 vote)
• Why had the equation become 4*6=g*3 ?
(1 vote)
• Each guest ate 3 truffles, so the total number of truffles eaten is the number of guests times 3 or g*3.
Akshay bought 4 boxes of truffles, each box contained 6 truffles, so the total number of truffles bought is 4*6. Now, the total number of truffles eaten is the same as the total number of truffles bought, so 4*6 = g*3. Now you can figure out how many guests there are
(2 votes)

## Video transcript

Akshay brought four boxes of chocolate truffles to a party. Each box contains 6 truffles. Every guest at the party ate exactly 3 truffles, and there were none left over. How many guests must there have been at the party, must have attended the party? So we're trying to figure out how many guests must have attended the party. So let's actually define a letter to represent that. So let's say that p, or let's say g, g for guests, let's say that g is equal to the number of guests at the party. Then we could actually set up a relation between the number of guests, the number of truffles each guest ate, and then the total number of chocolates. So what was the total number of chocolates that we have at this party? Well, he bought 4 boxes. And each box contains 6 truffles. So the total number of chocolates at the party must have been 4 times 6. 4 times 6 truffles must have been the total number of truffles at the party. So let me write this down. This is the number of truffles total. Now, what's another way of thinking about the total number of truffles at the party? Well, you have g guests. So you have g guests. And each guest ate 3 truffles. So g times 3 is also going to be the number of truffles at the party-- number of truffles total. So these two things need to be equal to each other. So we could figure out what 4 times 6 is. And then we say, well, 4 times 6 is going to be some number. And g times 3 has to equal that same number. What must g be? So let's think about that step by step. So let's just visualize 4 times 6. So here is one box of truffles. We get 6 truffles. So it's 1 times 6, 2 times 6, 3 times 6, and 4 times 6. Or another way of thinking about 4 times 6, that's the same thing as 6 plus 6 plus 6 plus 6, which is 6, 12, 18, 24. So what we have here on the left hand side is 24. So we get 24. And now we know that this is going to be equal to the number of guests at the party. This is going to be equal to the number of guests at the party times 3. So what times 3 is equal to 24? And another way of viewing this is if g times 3 is equal to 24, that means that 24 divided by 3 must be equal to g. So one way of thinking about it, if I were to divide these truffles, these 24 truffles, into groups of 3, 3 for each guest, well, the number of groups I'm going to have will tell me the number of guests I have. So let's do that. So let's divide it into groups of 3. So let's see. Here is one group of 3, right over here. One group of 3. And now I have another group of 3, so two groups of 3. And now I have three groups of 3. Here's four groups of 3. Here is five groups of 3, six groups of 3, seven groups of 3, and eight groups of 3. So if I were to take 24 things and divide it into groups of 3, I get 8 groups. So we see that g-- let me get my pen tool. We see that g, or I could say 24 divided by 3 is 8, which must be equal to the number of guests at the party. The other way of thinking about it is I'm like, hey, some mystery number here, g, that I'm trying to figure out, the number of guests at the party times 3 is equal to 24. So what times 3 is 24? Well, you could just think about all the multiples of three. 3 times 1 is 3. 3 times 2 is 6. 3 times 3 is 9, 12, 15, 18, 21, 24. That's three times 1, 2, 3, 4, 5, 6, 7, 8. 3 times 8 is 24, so g must be equal to 8, or 8 must be equal to g. Or we had exactly 8 guests at our party.