SOLUTION: You bought 15 one-gallon bottles of apple juice and orange juice for a school dance. The apple juice was on sale for $1.5 per gallon bottle. The orange bottle was $2 per gallon bot

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You bought 15 one-gallon bottles of apple juice and orange juice for a school dance. The apple juice was on sale for $1.5 per gallon bottle. The orange bottle was $2 per gallon bot      Log On


   

Question 1013151: You bought 15 one-gallon bottles of apple juice and orange juice for a school dance. The apple juice was on sale for $1.5 per gallon bottle. The orange bottle was $2 per gallon bottle. You spent $26. Write algebraic models for the situation. Then graph the algebraic models. How many bottles of each type of juice did you buy?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, how many of apple juice
y, how many of orange juice

Account for number of gallon bottles: x+y=15

Account for the cost of the juices: 1.5x+2y=26

System of equations is system%28x%2By=15%2C1.5x%2B2y=26%29.

A simple modification is multiply the money equation by 2 to get all whole number coefficients:
system%28x%2By=15%2C3x%2B4y=52%29


Choosing Elimination Method would be best.
system%283x%2B3y=45%2C3x%2B4y=52%29
Subtract first of these from the second of these equations to first get y.