At a concession stand, five hotdogs and two hamburgers cost $11.50; two hot dogs and five hamburgers cost $13.00. find the cost of one hot dog and the cost of one hamburger.

Question

Mathematics

Ivan Santos

23 January, 11:00

At a concession stand, five hotdogs and two hamburgers cost $11.50; two hot dogs and five hamburgers cost $13.00. find the cost of one hot dog and the cost of one hamburger.

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Answers (1)

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Kierra Moyer · Answer 1

let x=cost of one hot dog

let y=cost of one hamburger

5x+4y=13

4x+5y=14

20x+16y=52

20x+25y=70

subtract

-9y=-18

y=2

4x=14-5y=14-10=4

4x=4

x=1

cost of one hot dog=$1.00

cost of one hamburger=$2.00