SOLUTION: you have $45 dollars to spend on refreshments for a party. large bags of chips cost $2.00 and soda costs $0.50. you need to buy exactly 5 times as many sodas as bags of chips. how

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: you have $45 dollars to spend on refreshments for a party. large bags of chips cost $2.00 and soda costs $0.50. you need to buy exactly 5 times as many sodas as bags of chips. how       Log On


   

Question 1096910: you have $45 dollars to spend on refreshments for a party. large bags of chips cost $2.00 and soda costs $0.50. you need to buy exactly 5 times as many sodas as bags of chips. how many bags of chips and how many sodas can you buy?
Found 2 solutions by richwmiller, greenestamps:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
5c=s
2c+.5s=45

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

Since the number of sodas has to be 5 times the number of bags of chips, the solution is much easier if you make "unit"s of 5 sodas and 1 bag of chips. The cost of one such unit is 5($0.50)+$2.00 = $4.50.

If you spend $45 on those "units", it is clear that you need 10 of them. So what you buy is 10 bags of chips and 50 sodas.