Trick Problem

[willster459]

You buy a bottle of wine that costs $10. This cost includes the cost of the bottle plus the cost of the wine. If the wine inside the bottle is worth $9 more than the bottle itself, how much is the bottle by itself (without the wine) worth? Hint: $1 for the bottle is NOT the correct answer.

 

[Deleted member 4993]

You buy a bottle of wine that costs $10. This cost includes the cost of the bottle plus the cost of the wine. If the wine inside the bottle is worth $9 more than the bottle itself, how much is the bottle by itself (without the wine) worth? Hint: $1 for the bottle is NOT the correct answer.

Start with defining unknown.

Let the price of the bottle = B

Now formulate an equation from the given condition.

Please show us your work, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[TchrWill]

A- You buy a bottle of wine that costs $10. B - This cost includes the cost of the bottle plus the cost of the wine. C - If the wine inside the bottle is worth $9 more than the bottle itself, how much is the bottle by itself (without the wine) worth? Hint: $1 for the bottle is NOT the correct answer.willster459
New Member


Let the wine cost W and the bottle cost B.

From statements A and B, what relationship can you deduce between W and B?

From statement C, what relationship can you deduce between W and B?

You should be two steps from the answer.

 

[BigGlenntheHeavy]

\(\displaystyle Cost: \ W+B \ = \ 10\)

\(\displaystyle W \ = \ 9+B \ \implies \ W-B \ = \ 9\)

\(\displaystyle Hence, \ wine \ costs \ \$9.50 \ and \ bottle \ costs \ \$.50\)