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Santa has two and one-half bushels of apples. Three fifths of them are spoiled. He added one third of the spoiled apples to his compost heap. What part of a bushel of apples did he put in the compost?

User PTwr
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1 Answer

6 votes

Answer:

1/2 of a bushel of apples in the compost.

Explanation:


\begin{gathered} \text{ The amount of apple Santa has }=2(1)/(2)\text{ bushels} \\ \text{ The proportion of it that is spoiled}=(3)/(5)*2(1)/(2) \end{gathered}

He then added one-third of the spoiled apples to his compost heap.


\begin{gathered} (1)/(3)*\text{ Spoiled Apples} \\ =(1)/(3)*(3)/(5)*2(1)/(2) \\ =(1)/(3)*(3)/(5)*(5)/(2) \\ =(1)/(2)\text{ bushel} \end{gathered}

He put 1/2 of a bushel of apples in the compost.

User Diego Sanches
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