Question

A painter purchased a total of 16 cans of premium paint and primer. Each can of premium paint cost $32.99, and each can of primer cost $19.99. If the painter spent a total of $475.84, how many cans of primer did the painter purchase?

Answer 1

The number of cans of primer purchased was 4

Explanation:

Let

x ----> the number of cans of premium paint purchased

y ---> the number of cans of primer purchased

we know that

A painter purchased a total of 16 cans of premium paint and primer

so

`x+y=16` -----> equation A

The painter spent a total of $475.84

so

`32.99x+19.99y=475.84` ----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (12,4)

see the attached figure

therefore

The number of cans of primer purchased was 4