Algebra 1 question

Question

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 hit dogs sold for 1.25?

Answer 1

X+Y = 78

1.50*X + 1.25*Y = 105.50

1.50* X + 1.25 * ( 78 - X) = 105.50

150X + 125(78-X) = 10550

150X + 9750 - 125X = 10550

25X + 9750 = 10550

25X = 800

X = 32

Y = 46

32 hamburgers

46 hot dogs