At a concession stand, three hot dog(s) and two hamburger(s) cost $7.25; two hotdog(s) and three hamburger(s) cost $7.75 find the cost of one hot dog and the cost of one hamburger

Answer 1

3D+2B= 725

2D +3B =775

Multiply 1st by 2

and 2nd by 3 to get

6D+9B = 2325

6D+4B =1450

subtract to get

5B = 875

B = 875/5 = 175

a burger costs $1.75

3D+2B= 725

3D +2(175) = 725

3C +350 = 725

3C = 725-350 = 375

C = 375/3 = 125 = $1.25

1D + 1B = 175+125 = $3.00

dog costs $1.75

burger costs $1.25