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

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.

1 answer

To solve the equation \(30 \div x = 50\), we can interpret it in the context provided.

Given:

  • Stephen paid $30 for 50 nails, and if we denote \(x\) as the cost per nail, the equation rearranges to calculate \(x\):

\[ x = \frac{30}{50} \]

Thus, \(x\) represents the cost per nail.

Therefore, the best statement that describes the solution to the equation is:

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