Question

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.

Algebra foundations
ANSWERED
asked 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.

Answers (2)

2021-06-27
0
 
Best answer
2021-08-04

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

0

expert advice

Have a similar question?
We can deal with it in 3 hours
...