SOLUTION: A group of students bought 10 barbecues and 12 soft drinks at a cost of Php 320 . Another group of students bought 6 barbecues and 4 soft drinks at a cost of a Php 160. What is the

Question 886323: A group of students bought 10 barbecues and 12 soft drinks at a cost of Php 320 . Another group of students bought 6 barbecues and 4 soft drinks at a cost of a Php 160. What is the cost of a single barbecue? a single soft drink?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A group of students bought 10 barbecues and 12 soft drinks at a cost of Php 320 . Another group of students bought 6 barbecues and 4 soft drinks at a cost of a Php 160. What is the cost of a single barbecue? a single soft drink?
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Value equations:
10b + 12d = 320
6b + 4d = 160
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Modify for elimination::
10b + 12d = 320
18b + 12d = 480
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Subtract and solve for "b"::
8b = 160
b = 20 (cost of a barbeque)
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Cheers,
Stan H.
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Solve for "d":
6b + 4d = 160
120 + 4d = 160
4d - 40
d = 10 (cost of a soft drink)
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