You have $75 to spend on refreshments for a party. Large bags of chips cost $3.75 and sodas cost $0.25. 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? Step 1 Let C be the number of bags of chips we need to buy and S be the number of sodas we need to buy. Since chips cost $3.75 per bag, C bags cost          dollars. Since sodas cost $0.25 each, the cost of S sodas is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You have $75 to spend on refreshments for a party. Large bags of chips cost $3.75 and sodas cost $0.25. 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?
Step 1
Let C be the number of bags of chips we need to buy and S be the number of sodas we need to buy. Since chips cost $3.75 per bag, C bags cost 
 
 
 
  dollars. Since sodas cost $0.25 each, the cost of S sodas is 
 
 
 
 dollars.

We have $75 to spend, and so:
Cost of chips + Cost of sodas  =  Available money
 
 
 
 
 
 +  0.25S
 =  75
Additionally, we know that we will buy 5 times as many sodas as bags of chips:
Sodas  =  5 × Chips
 
S  = 
 
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