Four hot dogs and three sodas cost $10.75 at the concession stand. Two hot dogs and four sodas cost $8.50. Find the cost of each item.

Answer 1

4D+3S = 10.75

2D+4S =8.50

4D+8S =17

subtract the 1st equation to get

5S = 6.25

S = $1.25

D = [8.5 -4(1.25)]/2 = (8.5-5)/2 = 3.5/2 = $1.75