SOLUTION: You bought 10 gallon bottles of apple juice and orange juice.The apple juices was $1.50 per gallon,the orange juice was $2 per gallon and you spent $18.How much bottles of each did

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You bought 10 gallon bottles of apple juice and orange juice.The apple juices was $1.50 per gallon,the orange juice was $2 per gallon and you spent $18.How much bottles of each did      Log On


   

Question 847648: You bought 10 gallon bottles of apple juice and orange juice.The apple juices was $1.50 per gallon,the orange juice was $2 per gallon and you spent $18.How much bottles of each did you buy?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x bottles apple juice
y bottles orange juice

x%2By=10 and 1.50x%2B2y=18. Multiply the cost equation by 2 which will give 3x%2B4y=36. Now multiply the bottle count equation by 3 to give 3x%2B3y=30;

You have this system set for use of the elimination method to first find y:
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3x+4y=36
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3x+3y=30
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ANSWER: 4 bottles of apple juice and 6 bottles of orange juice