Question

You are running a concession stand at a basketball game. 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 $150. Let x represent the number of hot dogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold.

Answer 1

Answer:

x= 35 hot dogs

y= 52 soda

Step-by-step explanation:

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

Answer 2

The equation that can be used to find the number of hotdogs and sodas sold is 1.50x  +  0.50y    =   150

Cost of 1 hotdog = $1.50

Cost of 1 soda = $0.50

Total amount of money made = $150

Number of hotdogs sold = x

Number of sodas sold = y

(Cost of 1 hot dog)(Number of hot dogs) + (Cost of 1 soda)(Number of sodas) = Total amount made

The equation that can be used to find the number of hotdogs and sodas sold is

1.50x  +  0.50y    =   150

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