Answer:
1/2 of a bushel of apples in the compost.
Explanation:
[tex]\begin{gathered} \text{ The amount of apple Santa has }=2\frac{1}{2}\text{ bushels} \\ \text{ The proportion of it that is spoiled}=\frac{3}{5}\times2\frac{1}{2} \end{gathered}[/tex]He then added one-third of the spoiled apples to his compost heap.
[tex]\begin{gathered} \frac{1}{3}\times\text{ Spoiled Apples} \\ =\frac{1}{3}\times\frac{3}{5}\times2\frac{1}{2} \\ =\frac{1}{3}\times\frac{3}{5}\times\frac{5}{2} \\ =\frac{1}{2}\text{ bushel} \end{gathered}[/tex]He put 1/2 of a bushel of apples in the compost.