The concession stand sells hot dogs and soda during the pee-wee football games. John bought 6 hot dogs and 4 sodas and paid $6.70. Jessica bought 4 hot dogs and 3 sodas and paid $4.65. At what prices are the hot dogs and sodas sold? Show your work.

Hotdog cost $0.75

Price of soda = $0.55

Step-by-step explanation:

Let the price of hot dogs be x.

Let the price of sodas be y.

6x + 4y = 6.70 i

4x + 3y = 4.65 ii

Multiply equation i by 4

Multiply equation ii by 6

24x + 16y = 26.80 iii

24x + 18y = 27.90 iv

Subtract iii from iv

2y = 1.10

y = 1.10/2

y = $0.55

Price of soda = $0.55

From equation i,

6x + 4y = 6.70

6x + 4(0.55) = 6.70

6x + 2.20 = 6.70

6x = 6.70 - 2.20

6x = 4.50

x = 4.50/6

x = $0.75

Hotdog cost $0.75