Question

At a basketball game, Gail purchased 4 sodas and 2 hot dogs for $7.50. Martavius purchased 2 sodas and 4 hot dogs for $6.00. Some of Gail's relatives showed up late to the game, so Gail purchased 8 sodas and 10 hot dogs. Enter the amount of money that Gail spent on the 8 sodas and 10 hot dogs.

Answer 1

The first thing we must do for this case is to define variables.
We have then:
x: price of soda
y: price of hot dogs.
We write the system of equations:
4x + 2y = 7.50
2x + 4y = 6
Whose solution is:
x = 1.5 $
y = 0.75 $
Then, for 8 sodas and 10 hot dogs we have:
8x + 10y
Substituting values:
8 * (1.5) + 10 * (0.75) = 19.5 $
Answer:
the amount of money that Gail spent on the 8 sodas and 10 hot dogs is:
$ 19.5