Stephen paid $30 for 50 nails that he plans to use to repair the gutters on his house.

Question

30
÷
x
=
50
Which of the following statements best describes the solution to the equation?

A.
It represents the number of nails Stephen bought.

B.
It represents the cost per nail divided by the total amount Stephen paid.

C.
It represents the cost of each nail Stephen bought.

D.
It represents the total amount Stephen paid for the nails.

Answer 1

To solve for \( x \) in the equation \( \frac{30}{x} = 50 \), we can rearrange it to find \( x \):

1. Multiply both sides by \( x \): \[ 30 = 50x \]

2. Divide both sides by 50: \[ x = \frac{30}{50} = \frac{3}{5} = 0.6 \]

This means that \( x \) represents the cost per nail. Thus, the statement that best describes the solution to the equation is:

C. It represents the cost of each nail Stephen bought.