document.write( "Question 82895This question is from textbook Algebra 1
\n" ); document.write( ": Please help me with this question I apoligize if its under the wrong heading:\r
\n" ); document.write( "\n" ); document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #59521 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I come up with $22.50 starting out.
\n" ); document.write( "Say he has x cents to start with
\n" ); document.write( " $\"x-50\"$ cents after the 1st entrance toll
\n" ); document.write( " $\"%28x-50%29%2F2\"$ after the 1st store
\n" ); document.write( " $\"%28x-50%29%2F2+-+50\"$ after paying the 1st exit toll. That equals
\n" ); document.write( " $\"%28x-150%29%2F2\"$
\n" ); document.write( " $\"%28x-150%29%2F2+-+50\"$ after the 2nd entrance toll. That equals
\n" ); document.write( " $\"%28x-250%29%2F2\"$
\n" ); document.write( " $\"%28x-250%29%2F4\"$ after the 2nd store
\n" ); document.write( " $\"%28x-250%29%2F4+-+50\"$ after the 2nd exit toll. That equals
\n" ); document.write( " $\"%28x-450%29%2F4\"$
\n" ); document.write( " $\"%28x-450%29%2F4+-+50\"$ after the 3rd entramce toll. That equals
\n" ); document.write( " $\"%28x-650%29%2F4\"$
\n" ); document.write( " $\"%28x-650%29%2F8\"$ after the 3rd store
\n" ); document.write( " $\"%28x-650%29%2F8+-+50\"$ after the 3rd exit toll. That equals
\n" ); document.write( " $\"%28x-1050%29%2F8\"$
\n" ); document.write( " $\"%28x-1050%29%2F8+-+50\"$ after the 4th entrance toll. That equals
\n" ); document.write( " $\"%28x-1450%29%2F8\"$
\n" ); document.write( " $\"%28x-1450%29%2F16\"$ after the 4th store
\n" ); document.write( " $\"%28x-1450%29%2F16+-+50\"$ after the 4th exit toll. That equals
\n" ); document.write( " $\"%28x-2250%29%2F16\"$
\n" ); document.write( "At that point he has nothing left
\n" ); document.write( " $\"%28x-2250%29%2F16+=+0\"$
\n" ); document.write( " $\"x-2250+=+0\"$
\n" ); document.write( " $\"x+=+2250\"$
\n" ); document.write( "So he started with $22.50
\n" ); document.write( "check answer
\n" ); document.write( "2200 after 1st entrance toll
\n" ); document.write( "1100 after 1st store
\n" ); document.write( "1050 after 1st exit toll
\n" ); document.write( "1000 after 2nd entrance toll
\n" ); document.write( "500 after 2nd store
\n" ); document.write( "450 after 2nd exit toll
\n" ); document.write( "400 after 3rd entrance toll
\n" ); document.write( "200 after 3rd store
\n" ); document.write( "150 after 3rd exit toll
\n" ); document.write( "100 after 4th entrance toll
\n" ); document.write( "50 after 4th store
\n" ); document.write( "0 after 4th exit toll
\n" ); document.write( "OK \n" ); document.write( "

\n" );