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.

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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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