Question

Please show me how to solve the following problem: The ocncession stand is selling hot dogs and hamburger during the game. At half-time,they sold a total of 78 hamburgers and hot dogs and brought in $105.50. How many of each item did they sell if hamburgers sold at $1.50 and hot dogs sold at $1.25?

Answer 1

# of burgers --- x
#of hotdogs ---- 78-x

1.5x + 1.25(78-x) = 105.50
times 4
6x + 5(78-x) = 422
6x + 390 - 5x = 422
x = 32

32 hamburgers and 46 hotdogs