Question

The booster club is selling refreshments. The following system of linear equations models the concession stand prices. Let h represent the cost of a hot dog and s represent the cost of the soda. Write the answers in decimal form. Solve the system of linear equations.

4h+4s=10
4
ℎ
+
4
𝑠
=
10


7h+5s=15

Answer 1

First equation: 4h + 4s = 10 → divide by 4: h + s = 2.5, so h = 2.5 − s.

Substitute into 7h + 5s = 15:
7(2.5 − s) + 5s = 15
17.5 − 7s + 5s = 15
17.5 − 2s = 15
−2s = −2.5 → s = 1.25

Then h = 2.5 − 1.25 = 1.25.

Answer: h = 1.25, s = 1.25 (dollars).