Question

A worker is spray painting doors. It takes LaTeX: \frac{2}{5} 2 5 of a can of spray paint to paint 1 door. The worker has 2 cans of spray paint total. How many doors can the worker paint? Group of answer choices

Answer 1

5 doors

Explanation:

Can of spray paint : door painted = 2/5 : 1

The worker has 2 cans of spray paint total.

How many doors can the worker paint?

Let x = number of doors the worker can paint

Can of spray paint : door painted

2 : x

Equate both ratios

2/5 : 1 = 2 : x

2/5 ÷ 1 = 2/x

2/5 × 1/1 = 2/x

2/5 = 2/x

Cross product

2 * x = 5 * 2

2x = 10

x = 10/2

x = 5 doors

The worker can paint 5 doors with 2 cans of spray paint