Question

A gardener is preparing soil for a flowerbed. The directions call for 2 2 3 cups of fertilizer for every 9 bags of soil. If the gardener is using only 3 bags of soil, how many cups of fertilizer does he need?

Answer 1

Answer:
`\frac89` cups of fertilizer is required for 3 bags of soil.

Explanation:

Given: For every 9 bags of soil, the number of cups of fertilizers required =
`2(2)/(3)`

Quantity of fertilizer is proportional to the quantity of soil.

Let x be the number of cup of fertilizer required for 3 bags of soil, then

`(x)/(3)=(2\frac23)/(9)\\\\\Rightarrow\ (x)/(3)=(\frac83)/(9)\\\\\Rightarrow\ x=(8)/(3*9)*3\\\\\Rightarrow\ x=\frac89`

Hence,
`\frac89` cups of fertilizer is required for 3 bags of soil.