Question

A music store receives shipments of recorders and harmonics. A shipment of 5

Answer 1

Harmonica = $8
Recorder = $6

We’ll call r the cost of a recorder, h the cost of a harmonica.

5r + 4h = 62
10r + 3h = 84

First, we’ll solve for r in terms of h:
10r = 84 -3h
r = 8.4 - 0.3h

Then we’ll substitute that expression for r in the other equation:

5(8.4 - 0.3h) + 4h = 62
42 - 1.5h + 4h = 62
2.5h = 20
h = 8

Then we’ll substitute that in to solve for the numerical value of r

r = 8.4 - 0.3h
r = 8.4 - 0.3(8)
r = 8.4 - 2.4
r = 6

Check the math:
5r + 4h = 62
5(6) + 4(8) = 30 + 32 = 62


Let me know if you have any questions.

Answer 2

Answer:

Recorders= $6

Harmonics= $8

Step-by-step explanation: