SOLUTION: You buy 6 bags of gummy bears and 3 bags of chocolate for a total of $24.75. Your friend decides to buy 2 bags of gummy bears and 5 bags of chocolate for a total of $21.25. How mu
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-> SOLUTION: You buy 6 bags of gummy bears and 3 bags of chocolate for a total of $24.75. Your friend decides to buy 2 bags of gummy bears and 5 bags of chocolate for a total of $21.25. How mu
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Question 1113485: You buy 6 bags of gummy bears and 3 bags of chocolate for a total of $24.75. Your friend decides to buy 2 bags of gummy bears and 5 bags of chocolate for a total of $21.25. How much do the bags of chocolates cost? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! let g be the cost of a bag of gummy bears and c be the cost of a baag of chocolate
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1) 6g +3c = 24.75
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2) 2g +5c = 21.25
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solve equation 1 for c
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3c = 24.75 -6g
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c = 8.25 -2g
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substitute for c in equation 2 and solve for g
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2g +5(8.25 -2g) = 21.25
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2g +41.25 -10g = 21.25
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-8g = -20.00
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g = 2.50
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c = 8.25 -2(2.50) = 3.25
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a bag of chocolate costs $3.25
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check answer
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equation 1
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6(2.50) +3(3.25) = 24.75
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15.00 +9.75 = 24.75
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24.75 = 24.75
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equation 2
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2(2.50) +5(3.25) = 21.25
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5.00 +16.25 = 21.25
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21.25 = 21.25
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answer checks
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