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


7h+5s=15


(1 point)
h=$


s=$

Answer 1

From 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 → −2s=−2.5 → s=1.25.

Then h=2.5−1.25=1.25.

h = $1.25
s = $1.25