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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 240240 cherries to 33 pies.\newlineHow many cherries does Greg need to make 1515 perfect cherry pies?\newlinecherries

Full solution

Q. According to Greg, perfect cherry pies have a ratio of 240240 cherries to 33 pies.\newlineHow many cherries does Greg need to make 1515 perfect cherry pies?\newlinecherries
  1. Identify Ratio and Question: Identify the given ratio and what is being asked.\newlineGreg says the ratio for perfect cherry pies is 240240 cherries to 33 pies. We need to find out how many cherries are needed for 1515 pies.
  2. Set up Proportion: Set up a proportion to find out how many cherries are needed for 1515 pies.\newlineIf 240240 cherries are to 33 pies, then XX cherries will be to 1515 pies. We can write this as:\newline240 cherries3 pies=X cherries15 pies\frac{240 \text{ cherries}}{3 \text{ pies}} = \frac{X \text{ cherries}}{15 \text{ pies}}
  3. Solve Proportion for X: Solve the proportion for XX (the number of cherries needed for 1515 pies).\newlineCross-multiply to solve for XX:\newline240240 cherries 15* 15 pies =3= 3 pies X* X cherries\newline3600=3X3600 = 3X
  4. Divide to Find X: Divide both sides of the equation by 33 to find X.\newline36003=X\frac{3600}{3} = X\newline1200=X1200 = X
  5. Verify Solution: Verify that the units make sense and that the math has been done correctly.\newlineWe 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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