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You have $80 to spend on refreshments for a party. Large bags of chips cost $2.50 and sodas cost $0.50. You need to buy exactly five times as many sodas as bags of chips. How many bags of chips and how many sodas can you buy?

 Nov 7, 2015
 #1
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Let C = number of bags of chips and S = number of sodas.

 

2.5*C + 0.5*S = 80           ...(1)

S = 5*C                            ...(2)

 

Replace S in (1) using (2)

2.5C + 0.5*5C = 80

 

2.5C + 2.5C = 80

 

5C = 80

 

C = 80/5 so C = 16

 

Put this back into (2)

 

S = 5*16 so S = 80

 Nov 7, 2015
edited by Alan  Nov 7, 2015

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