Roselle has 2 cups of popcorn and 8 oz of soda for a total of 216 calories. Carmel has 1 cup of popcorn and 12 02 of soda for a total of 204 calories.

vazelinahS

vazelinahS

Answered question

2021-06-25

Roselle has 2 cups of popcorn and 8 oz of soda for a total of 216 calories. Carmel has 1 cup of popcorn and 12 02 of soda for a total of 204 calories. Determine the number of calories per cup of popcorn and per ounce of soda.

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-06-27Added 169 answers

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Ian Adams

Ian Adams

Skilled2021-08-04Added 163 answers

Let x be the number of calories per cup of popcorn and y be the number of calories per ounce of soda.
2 cups of popcorn and 8 oz of soda have a total of 216 calories:
2x+8y=216(1)
1 cup of popcorn and 12 oz of soda have a total of 204 calories:
x+12y=204(2)
Divide (1) by 2 to obtain (3):
x+4y=108(3)
Subtract each side of (2) and (3) to eliminate xx and solve for y:
8y=96
y=12
Solve for xx using (2):
x+12(12)=204
x+144=204
x=60
So, there are 60 calories per cup of popcorn and 12 calories per ounce of soda.

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