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

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