Question 1113485
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
:
2g +5(8.25 -2g) = 21.25
:
2g +41.25 -10g = 21.25
:
-8g = -20.00
:
g = 2.50
:
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
:
6(2.50) +3(3.25) = 24.75
:
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
:
5.00 +16.25 = 21.25
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21.25 = 21.25
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answer checks
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