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According to Greg, perfect cherry pies have a ratio of 240 cherries to 3 pies.
How many cherries does Greg need to make 15 perfect cherry pies?
cherries

According to Greg, perfect cherry pies have a ratio of $240$ cherries to $3$ pies. $\newline$ How many cherries does Greg need to make $15$ perfect cherry pies? $\newline$ cherries

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Divide numbers ending in zeros: word problems

Full solution

Q. According to Greg, perfect cherry pies have a ratio of

240

cherries to

3

pies.

\newline

How many cherries does Greg need to make

15

perfect cherry pies?

\newline

cherries

Identify Ratio and Question: Identify the given ratio and what is being asked. $\newline$ Greg says the ratio for perfect cherry pies is $240$ cherries to $3$ pies. We need to find out how many cherries are needed for $15$ pies.
Set up Proportion: Set up a proportion to find out how many cherries are needed for $15$ pies. $\newline$ If $240$ cherries are to $3$ pies, then $X$ cherries will be to $15$ pies. We can write this as: $\newline$ $\frac{240 \text{ cherries}}{3 \text{ pies}} = \frac{X \text{ cherries}}{15 \text{ pies}}$
Solve Proportion for X: Solve the proportion for $X$ (the number of cherries needed for $15$ pies). $\newline$ Cross-multiply to solve for $X$ : $\newline$ $240$ cherries $* 15$ pies $= 3$ pies $* X$ cherries $\newline$ $3600 = 3X$
Divide to Find X: Divide both sides of the equation by $3$ to find X. $\newline$ $\frac{3600}{3} = X$ $\newline$ $1200 = X$
Verify Solution: Verify that the units make sense and that the math has been done correctly. $\newline$ We were looking for the number of cherries, and our final answer is in cherries. The math steps were followed correctly without any errors.

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