Theo bought 4 hot dogs and 3 sodas for $6.55. At the same concession stand, vicky bought 2 hot dogs and 5 sodas for $4.85. What is the price of a hot dog?

Let the price of a hot dog be h and price os a soda be s dollars. Then we have:-

4h + 3s = 6.55 ... (1)

2h + 5s = 4.85 multiply this equation by - 2:-

-4h - 10s = - 9.70 ... (2)

Adding (1) and (2) : -

-7s = - 3.15

s = - 3.15 / - 7 = 0.45

So $0.45 is the price of a soda

To find price of a hot doe plug s = 0.45 into equation (1) : -

4h = 3 (0.45) = 6.55

4h = 6.55-1.35 = 5.20

h = 5.20 / 4 = $1.30

The answer is price hot dog = $1.30