Question

Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs $ 99 buy 2 wreaths and 1 tree . How much does each wreath cost? How much does each tree cost?

Answer 1

`W = 16`

`T = 67`

Explanation:

Represent trees with T and wreaths with W

Given

`T = 3 + 4 * W`

`2 * W + T = 99`

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

`2*W + 3 + 4 * W = 99`

`2W + 3 + 4 W = 99`

Collect Like Terms

`2W + 4 W = 99 - 3`

`6W = 96`

Divide through by 6

`W =(96)/(6)`

`W = 16`

Hence, each wreath costs $16

Solving (b): Cost of T

`T = 3 + 4 * W`

Substitute 16 for W

`T = 3 + 4 * 16`

`T = 3 + 64`

`T = 67`

Hence, each tree costs $67