SOLUTION: Alvin, Theodore, and Simon went to the movies. Alvin bought 2 boxes of popcorn, 4 cherry slushies, and 2 boxes of candy. He spent $49.50. Theodore bought 3 boxes of popcorn, 2 c

Algebra ->  Finance -> SOLUTION: Alvin, Theodore, and Simon went to the movies. Alvin bought 2 boxes of popcorn, 4 cherry slushies, and 2 boxes of candy. He spent $49.50. Theodore bought 3 boxes of popcorn, 2 c      Log On


   



Question 1111366: Alvin, Theodore, and Simon went to the movies. Alvin bought 2 boxes of popcorn, 4 cherry slushies, and 2 boxes of candy. He spent $49.50. Theodore bought 3 boxes of popcorn, 2 cherry slushies, and 4 boxes of candy. He spent $57.75. Simon bought 3 boxes of popcorn, 3 cherry slushies, and 1 box of candy. He spent $38.50. Write a system of equations to represent this problem and determine the unit price of each item purchased. Define your variables.
Thanks!

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p, popcorn price
x, cherry slushes price
c, candy price

system%282p%2B4x%2B2c=49.5%2C3p%2B2x%2B4c=57.75%2C3p%2B3x%2Bc=38.5%29

Solve any way you want. Matrices or Elimination or maybe substitution.