Math
posted by Jane .
Please show me how to solve the following problem: The ocncession stand is selling hot dogs and hamburger during the game. At halftime,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?

# of burgers  x
#of hotdogs  78x
1.5x + 1.25(78x) = 105.50
times 4
6x + 5(78x) = 422
6x + 390  5x = 422
x = 32
32 hamburgers and 46 hotdogs