Question

It costs $45 for 3 xylophones and 3 yo-yo's. If you purchased 5 xylophones and

6 yo-yo's, it would cost $80. Set up a system of equations and solve for the
cost of a single xylophone and a single yo-yo.

Answer 1

Explanation:

xylophone : x

yo-yo : y

3x + 3y = 45 —(1)

5x + 6y = 80 —(2)

(1)*2 : 6x + 6y = 90 —(3)

(3)-(2):

6x + 6y = 90

-(5x + 6y) = 80

x =10 — (4)

Sub (4) into (1)

3(10) + 3y = 45

30 + 3y = 45

3y = 45-30

y = 15/3

y = 5