human
Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?
assistant
How many bags of leaves can Peter rake in Y minutes? ** We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y. And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y.
How many minutes does it take Peter to rake 8 bags of leaves? ** Next, we will multiply to find the cross-products. 3 x Y = 15 x 8 or 3Y = 120.
How many minutes does it take Peter to rake 8 bags of leaves? ** We want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y/3 = 120/3 or Y = 40 minutes.
#### 40