Question

Debra's rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of garden fertilizer costs $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square yard of her garden, how many cups of fertilizer does she need?

Answer 1

She needs 14 cups of fertilizer

Explanation

First, we need to calculate the area of the garden. The area of a rectangle is calculated as follows:

`A=length* width`

In this case, the measures are 9 1/3 yards and 12 yards. Substituting these values into the formula, the garden's area is:

`\begin{gathered} A=9(1)/(3)*12 \\ A=112\text{ square yard} \end{gathered}`

1 square yard of garden needs 1/8 cup of fertilizer. To find how many cups of fertilizer (x) needs 112 square yards, we can use the next proportion:

`\frac{1\text{ square yard}}{112\text{ square yards}}=\frac{(1)/(8)\text{ cup of fertilizer}}{x\text{ cups of fertilizer}}`

Solving for x:

`\begin{gathered} 1* x=(1)/(8)*112 \\ x=14\text{ cups of fertilizer} \end{gathered}`