Ask Question
18 January, 00:17

Tristan and Anthony go to the movie theater and purchase refreshments for their friends. Tristan spends a total of $132.00 on 10 drinks and 7 bags of popcorn. Anthony spends a total of $102.00 on 2 drinks and 14 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

+3
Answers (1)
  1. 18 January, 04:16
    0
    Popcorn=$6

    Step-by-step explanation:

    1) Setting variables

    d = price of drinks

    p = price of popcorn

    2) Writing the system of equations

    10d+7p=132

    2d+14p=102

    3) Simplifying one equation

    2d=102-14p

    d=51-7p

    4) Solving the other equation by plugging the first equation in

    d=51-7p

    10d+7p=132

    10 (51-7p) + 7p=132

    510-70p+7p=132

    510-63p=132

    63p=378

    p=6

    5) Substituting p=6 into the first equation

    d=51-7p

    d=51-42

    d=9
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Tristan and Anthony go to the movie theater and purchase refreshments for their friends. Tristan spends a total of $132.00 on 10 drinks and ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers