The concession stand is selling hot dogs and hamburgers during a game, at halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. How many of each item did they sell if hamburgers sold for 1.50 and hot dogs for $1.25?

Let x = the number of hot dogs sold at $1.25 each

Let y = the number of hamburger sold at $1.50 each

Total sales count: x + y = 78

Total sales $: 1.25x + 1.50y = 105.50

Solve for x and y using any method you wish

I get x = 46 and y = 32

Total hot dogs = 46

&

Total hamburgers = 32