Question

You are a running a concession stand selling hot dogs and sodas each hot dog costs .75 cents and each soda costs $1.25. You sold 27 more sodas than hot dogs. if you made a total of $257.75. How many sodas and hot dogs did you sell?

Answer 1

Each hot dog costs $ 1.50 and each soda costs $ .50. You made a total of $ 78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs and soda's sold. How many hot dogs and soda's were sold? 

Quantity Equation: h + s = 87
Value Equation:: 1.5h+0.5s=78.50

Multiply thru the Quantity Equation by 15
Multiply thru the Value Equation by 10.

15h + 15s = 15*87
15h + 5s = 785Subtract and solve for "s":10s = 520
s = 52 (# of soda's sold)

Solve for h:
h + s = 87
h + 52 = 87
h = 35 (# of hot dog's sold)

Answer 2

Each hot dog costs $ 1.50 and each soda costs $ .50. You made a total of $ 78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs and soda's sold. How many hot dogs and soda's were sold? 

Quantity Equation: h + s = 87
Value Equation:: 1.5h+0.5s=78.50

Multiply thru the Quantity Equation by 15
Multiply thru the Value Equation by 10.

15h + 15s = 15*87
15h + 5s = 785Subtract and solve for "s":10s = 520
s = 52 (# of soda's sold)

Solve for h:
h + s = 87
h + 52 = 87
h = 35 (# of hot dog's sold)

hope i helped^-^