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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.

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carlosego
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

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