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 $
 
 the amount of money that Gail spent on the 8 sodas and 10 hot dogs is:
 $ 19.5