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?

Respuesta :

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.