Math
posted by Jesse
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?

Henry
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. 
Livvy
72
Respond to this Question
Similar Questions

MICROECONOMICS
Can anyone help me??? Rank the products below in ascending order in terms of price elasticity of demand: A chicken meal, food for dinner, a soft drink after a dinner, a fruit desert after a dinner. Here's my guess, but you probably 
6th Grade Math
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, she spent half … 
math
Len and Kris had dinner in a restaurant. The dinner bill was $18.50. They had to pay a 5% food tax and they left a 15% tip for the waiter. What was the total amount they paid for dinner that night? 
Math
While spending 10 weeks at a university in Germany, Ayesha frequently had dinner with 5 of her classmates: Jack, Erik, Annalee, Peter, and Nola. She ate dinner with each of these classmates exactly 12 times. She ate dinner with every … 
Math
Your parents took your family to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner was $42.00. What should be paid to the waiter as a tip. 
math
Barbra has a coupon for 5% off of the cost of her dinner, She tips the waiter 20% of the discounted priice of her dinner, and pays a total (discounted dinner price + tip) of $18.24, how much did her dinner cost before the discount? 
math
Barbra has a coupon for 5% off of the cost of her dinner, She tips the waiter 20% of the discounted priice of her dinner, and pays a total (discounted dinner price + tip) of $18.24, how much did her dinner cost before the discount? 
English
1. What about dinner at my place? 2. What about dinner in my place? 
Tense
1. I am eating dinner late at night every Monday. 2. I am eating dinner at 8p.m. every night. 3. I am eating dinner now, can I phone you back later? 
English
1. He had dinner with his family. 2. He had a light dinner today. 3. He had a heavy dinner today. 4. He had a good dinner today.  In #1, we do not use an article before 'dinner.' What about the others?