SOLUTION: A bottle of wine with a cork cost $2.10. A bott of wine without a cork costs $2.00 more than the cork. What is the price of the cork?

Question 87419: A bottle of wine with a cork cost $2.10. A bott of wine without a cork costs $2.00 more than the cork. What is the price of the cork?
Answer by ankor@dixie-net.com(22740) (Show Source): 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?
:
Let x = cost of wine
Let y = cost of the cork
:
Write a simple equation for each phrase
:
"A bottle of wine with a cork cost $2.10."
x + y = 2.10
:
"A bottle of wine without a cork costs $2.00 more than the cork"
x = y + 2
:
"What is the price of the cork?"
:
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
:
Check solution:
x + y = 2.10
x + .05 = 2.10
x = 2.10 - 05
x = 2.05 which is $2 more the the cork
RELATED QUESTIONS
A bottle and cork together cost $35.00. The bottle costs exactly $30.00 more than the... (answered by rfer)

Cask�n�Cork wine shop has a markup rate of 17.3%. What price will the shop charge for a... (answered by rfer)

together a bottle and a cork cost a dollar and five cents. the bottle cost a dollar more... (answered by JulietG,ewatrrr)

Here is the problem. A bottle and its cork together cost $35.00. The bottle costs... (answered by Paul)

after experimentation two pacific institute physics students find that when a bottle of... (answered by jim_thompson5910)

A bottle of wine costs $10. If the wine is worth $9 more than the bottle, what is the... (answered by stanbon)

I am having problems with this question, please could you help me to understand it? I... (answered by nerdybill)

Help.after experimentation two pacific institute physics students find that when a bottle (answered by richwmiller)

Write a formula showing the dependence of the mass of a piece of cork on its volume, if... (answered by Alan3354)