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?

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?

Reiny · Answer

# 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