Question

(ITAT

Set up a system & solve:
20)
Tammy bought 3 hot dogs & five sodas for $13.
Julie bought 5 hot dogs & two sodas for $9.95.
How much does each cost?

Answer 1

Hot dog is $1.25, soda is $1.85

Explanation:

Let the number of hot dogs be h and the number of sodas be s.

Then, 3h+5s=13 and 5h+2s=9.95.

Multiplying the first equation by 5 yields 15h+25s=65.

Multiplying the second equation by 3 yields 15h+6s=29.85.

Subtracting the equations, we get 19s=35.15, meaning s=1.85.

This means 3h+5(1.85)=13, so h=1.25.