document.write( "Question 212113: YOU PAY A TOLL IN EITHER ALL QUARTERS OR ALL DIMES. THE TOLL IS 3 MORE DIMES THAN QUARTERS. WHAT IS THE TOLL? \n" ); document.write( "
Algebra.Com's Answer #160192 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
YOU PAY A TOLL IN EITHER ALL QUARTERS OR ALL DIMES. THE TOLL IS 3 MORE DIMES THAN QUARTERS. WHAT IS THE TOLL?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Total cost = 10x = 25y\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "where x is the number of dimes\r
\n" ); document.write( "\n" ); document.write( "and y is the number of quarters\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. y=x-3 since toll is 3 more dimes than quarters. That is, number of quarters is less than number of times,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Substitute y of Step 2 into Step 1 .\r
\n" ); document.write( "\n" ); document.write( "\"10x=25y\"\r
\n" ); document.write( "\n" ); document.write( "\"10x=25%28x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"10x=25x-75\" \r
\n" ); document.write( "\n" ); document.write( "Step 4. Subtract 10x from both sides of equation to make left side = 0\r
\n" ); document.write( "\n" ); document.write( "\"10x-10x=25x-75-10x\"\r
\n" ); document.write( "\n" ); document.write( "\"0=15x-75\"\r
\n" ); document.write( "\n" ); document.write( "Step 3. Now add 75 to both sides of equation to isolate x on one side.\r
\n" ); document.write( "\n" ); document.write( "\"0%2B75=15x-75%2B75\"\r
\n" ); document.write( "\n" ); document.write( "\"15x=75\"\r
\n" ); document.write( "\n" ); document.write( "Step 6. Isolate x by dividing 15 to both sides of equation\r
\n" ); document.write( "\n" ); document.write( "\"15x%2F15=75%2F15=5\"\r
\n" ); document.write( "\n" ); document.write( "Step 7. x=5 (x is the number of dimes) so the cost of the toll is\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Total Cost = \"10%2A5=50+cents\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As a check with y as the number of quarters then \r
\n" ); document.write( "\n" ); document.write( "\"y=5-3=2\",\r
\n" ); document.write( "\n" ); document.write( "so \r
\n" ); document.write( "\n" ); document.write( "Total Cost = \"25%2A2=50+cents+\"\r
\n" ); document.write( "\n" ); document.write( "So the answer also checks out with the number of quarters.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Contact Dr J for more info at john@e-liteworks.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );