Question

A store sells cans of paint for $8 each, and brushes for $12 each. If they sell 100 items, and

make $880, how many cans and brushes did they sell?
A

60 cans, 30 brushes
B

80 cans, 20 brushes
C

40 cans, 40 brushes
D

20 cans, 50 brushes

Answer 1

Your answer is B.

Answer 2

B.) 80 cans, 20 brushes

Explanation:

Let the cans of paint be represented by variable p , and brushes by variable b

The first equation would be ; p + b = 100

p = 100 - b

The second equation would be;

8p + 12b = 880

Replace p in the equation by (100-b);

=8(100-b) + 12b =880

=800 - 8b +12b = 880

= subtract 800 from both sides to get;

4b = 880-800

4b = 80

divide both sides by 4 to solve for b;

b= 80/4

b = 20

If p + b = 100, then p+20 = 100

p = 100-20

p = 80

Therefore, they sold 80 cans of paint and 20 brushes