Question 174429: Susie,Joey and Linda went to the carnival. Susie brought 2 funnel cakes and a cotton candy for $13. Joey brought a funnel cake, a cotton candy, and a large soda for $12. Linda brought 2 bags of cotton candy and a large soda for $10. How much did each item cost?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Susie,Joey and Linda went to the carnival. Susie brought 2 funnel cakes and a cotton candy for $13. Joey brought a funnel cake, a cotton candy, and a large soda for $12. Linda brought 2 bags of cotton candy and a large soda for $10. How much did each item cost
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Let f = cost of a funnel cake
Let c = cost of cotton candy
Let s = cost of a soda
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Write an equation for each statement:
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"Susie brought 2 funnel cakes and a cotton candy for $13."
2f + c = 13
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" Joey brought a funnel cake, a cotton candy, and a large soda for $12."
f + c + s = 12
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"Linda brought 2 bags of cotton candy and a large soda for $10."
2c + s = 10
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How much did each item cost
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Arrange the equations like this:
2f + c + 0s = 13
f + c + s = 12
0f +2c + s = 10
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Multiply the last equation by -1 and add the three equation:
2f + c + 0s = 13
f + c + s = 12
0f -2c - s = -10
------------------ addition eliminates c and s, find f
3f = 15
f = $5 for a funnel cake
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Using the 1st equation
2(5) + c = 13
c = 13 - 10
c = $3 for cotton candy
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I'll let you find the cost of a soda:
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Check the solutions in the original equations
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