Question

Phillip bought 12 used cds and dvds. CDs cost 2 each and dvds cost 3 each. He spent 32 not including tax. How many dvds did Phillip buy?

Answer 1

Eight

Explanation:

We have two conditions:

(1) C + D = 12

(2) 2C + 3D = 32 Subtract D from each side of Equation (1)

C = 12 - D Multiply both sides by 5

2(12 – D) + 3D = 32 Remove parentheses

24 – 2D + 3D = 32 Combine like terms

24 + D = 32 Subtract D from each side

D = 8

Philip bought eight DVDs.