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 2021-06-25 Answered
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.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Jaylen Fountain
Answered 2021-06-27 Author has 7197 answers
Watch the video below:

Have a similar question?
Ask An Expert
36
 
question2answer
Answered 2021-08-04 Author has 18953 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:
\(\displaystyle{2}{x}+{8}{y}={216}{\left({1}\right)}\)
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.

31

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2020-11-20
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.
asked 2020-12-14
Two minor league baseball players got a total of 366 hits. Washington had 12 more hits than Sanchez. Find the number of hits for each player. Washington had 195 hits. Sanchez had 171 hits.
asked 2021-06-17
Eric borrowed a total of $4000 from two student loans. One loan charged 5% simple interest and the other charged 4.5% simple interest, both payable after graduation. If the interest he owed after 3 years was $547.50, determine the amount of principal for each loan.
asked 2020-10-28
Eric borrowed a total of $4000 from two student loans. One loan charged 5% simple interest and the other charged 4.5% simple interest, both payable after graduation. If the interest he owed after 3 years was $547.50, determine the amount of principal for each loan.
asked 2021-05-14
A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How many grams of each cheese should she use in order to obtain 30 grams of a cheese mixture that is 30% fat?
asked 2021-02-05
A chef has one cheese that contains 45% fat and another cheese that contains 20% fat. How many grams of each cheese should she use in order to obtain 30 grams of a cheese mixture that is 30% fat?
asked 2020-10-23
A chemist needs 150 milliliters of a 54% solution but has only 10% and 70% solutions available. How many milliliters of each should be mixed to get the desired solution?
...