Posted by **Jesse** on Tuesday, February 8, 2011 at 3:36pm.

Carmen received some money for her birthday on Friday. That night, she took her friend out to dinner. She spent half of her check for dinner. Then she tipped the waiter $6. The next evening she went to dinner alone, spent half of the money she had left, and tipped the waiter $2. The next night she went to dinner again, spent half of the money she had left, and tipped the waiter $1. At this time she had $6 left. How much money did she originally have?

- Math -
**Henry**, Thursday, February 10, 2011 at 5:19pm
First Trip

Check = X dollars.

Spent: X/2 + 6,

BAL = X - (X/2 + 6) = X/2 - 6.

SECOND TRIP

Spent: 1/2(X/2 - 6) + 2 = X/4 - 1.

BAL = (X/2 - 6) - (X/4 - 1) = X/4 - 5.

THIRD TRIP

Spent: 1/2(X/4 - 5) = X/8 - 5/2.

BAL=(X/4 - 5) - (X/8 - 5/2) = X/8 - 5/2

X/8 - 5/2 = 6,

Multiply both sides by 8:

X - 20 = 48,

X=48 + 20 = $68 = The original amount.

## Answer This Question

## Related Questions

- 6th Grade Math - Carmen recieved some money for her birthday on Friday. That ...
- math - Len and Kris had dinner in a restaurant. The dinner bill was $18.50. ...
- Math - Your parents took your family to dinner. Your parents wanted to give the ...
- math - Barbra has a coupon for 5% off of the cost of her dinner, She tips the ...
- math - Barbra has a coupon for 5% off of the cost of her dinner, She tips the ...
- math - becca received some money for her birthday. she spent 2/5 then she spent ...
- math - A charity fund-raiser consisted of a spaghetti dinner where a total of ...
- Math - Kelby has some money. She bought a birthday gift for $11 and spent one-...
- English - Mr. Firman invited his friend, Mr. Nulty, to come over and have dinner...
- English - Identify the correct sentence. A. When you will come to Florida next ...

More Related Questions