You can put this solution on YOUR website! A bottle of wine with a cork cost $2.10. A bottle of wine without a cork costs $2.00 more than the cork. What is the price of the cork?
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Let x = cost of wine
Let y = cost of the cork
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Write a simple equation for each phrase
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"A bottle of wine with a cork cost $2.10."
x + y = 2.10
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"A bottle of wine without a cork costs $2.00 more than the cork"
x = y + 2
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"What is the price of the cork?"
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Substitute (y+2) for x in the first equation:
x + y = 2.10
(y+2) + y = 2.10
2y + 2 = 2.10
2y = 2.10 - 2
y = .10/2
y = .05
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Check solution:
x + y = 2.10
x + .05 = 2.10
x = 2.10 - 05
x = 2.05 which is $2 more the the cork
