You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night, you made a total of $78.50. You sold 87 hot dogs and sodas altogether. You must report to your manager the number of hot dogs and sodas that were sold. How many hot dogs and how many sodas were sold?

Answer:

x= hot dogs

y= soda

Total sold

1 x + 1 y = 87 .............1

2 x 0.50 y = 78.50 .............2

Eliminate y

multiply (1)by -0.50

Multiply (2) by 1.00

-0.50 x -0.50 y = -43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 -35

y = 52

y = 52.00

x= 35 hot dogs

y= 52 soda

Step-by-step explanation:

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