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.

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