At a concession stand, 5 hot dogs and 4 hamburgers cost $14.75 ;4 hot dogs and 5 hamburgers cost $14.50. Find the cost of one hot dog and the cost of one hamburger.

Question

I need help finding the solution to this problem. At a concession stand, 5 hot dogs and 4 hamburgers cost $14.75 ;4 hot dogs and 5 hamburgers cost $14.50. Find the cost of one hot dog and the cost of one hamburger.

Answer 1

5d +4h = 14.75

4d +5h = 14.50

20d +16h = 4(14.75)

20d +25h = 5(14.50

9h = 5(14.50- 4(14.75)

h = (72.5 - 59)/9 = 13.5/9 = $1..50 per hamburger

d = (14.5 - 5(1.5))/4 = 7/4 = $1.75 per hot dog

check the answers

4(1.75)+5(1.5) = 7+7.5 = 14.5

5(1.75)+4(1.5) = 8.75 + 6 = 14.75