SOLUTION: Please help me with this question I apoligize if its under the wrong heading: Ramon was going to visit his friend in a distant city. He had to travel on four different turnpikes

Question 82895This question is from textbook Algebra 1
: Please help me with this question I apoligize if its under the wrong heading:
Ramon was going to visit his friend in a distant city. He had to travel on four different turnpikes to get there. He had to pay 50 cents to enter each turnpike and 50 cents to exit. On each turnpike, he stopped at one store for a snack and spent 1/2 of the money he had after he entered that turnpike. After paying 50 cents to leave the last turnpike, Ramon was out of money. How much did he start with before entering the first turnpike? This question is from textbook Algebra 1

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I come up with $22.50 starting out.
Say he has x cents to start with
cents after the 1st entrance toll
after the 1st store
after paying the 1st exit toll. That equals

after the 2nd entrance toll. That equals

after the 2nd store
after the 2nd exit toll. That equals

after the 3rd entramce toll. That equals

after the 3rd store
after the 3rd exit toll. That equals

after the 4th entrance toll. That equals

after the 4th store
after the 4th exit toll. That equals

At that point he has nothing left

So he started with $22.50
check answer
2200 after 1st entrance toll
1100 after 1st store
1050 after 1st exit toll
1000 after 2nd entrance toll
500 after 2nd store
450 after 2nd exit toll
400 after 3rd entrance toll
200 after 3rd store
150 after 3rd exit toll
100 after 4th entrance toll
50 after 4th store
0 after 4th exit toll
OK
RELATED QUESTIONS
Please help me with this question it is a story problem and I apoligize if its under the... (answered by scott8148)

please help me with this problem its a story problem and I apoligize if its under the... (answered by sofiyacherni,checkley75)

Please help me: Ramon is six years older than Mark. In four years, Mark will be as old (answered by jim_thompson5910)

Hello! I was hoping you could help me with a question. "One train leaves city A heading... (answered by Alan3354,richwmiller,stanbon)

Could you help me to understand the complex numbers formulas and specially their signs?... (answered by ptaylor)

please help me with this question it is a story problem and I apologize if its under the... (answered by bucky)

Can you please help me on how to do this question, I dont understand it. Matt bikes 50km (answered by stanbon)

My problem : At a recent birthday party for a friend of mine, I pointed out the... (answered by vleith,jim_thompson5910)

I was wrong in this question and I don't know how to answer this... please help me..... (answered by chana)