document.write( "Question 125232: a coin bank contains twenty-two coins in nickes, dimes and quarters . there are four times as many dimes and quarters. the value of the coins is $2.30 how many dimes are in the bank \r
\n" ); document.write( "\n" ); document.write( "ps: i don't understand when it askme \"there are four times as many dimes and quarters
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Algebra.Com's Answer #91790 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"There are four times as many dimes and quarters.\" This looks
\n" ); document.write( "like a misprint. It should read:
\n" ); document.write( "\"There are four times as many dimes AS quarters.\"
\n" ); document.write( "Let \"n\"= number of nickels
\n" ); document.write( "Let \"d\"= number of dimes
\n" ); document.write( "Let \"q\"= number of quarters
\n" ); document.write( "\"5n+%2B+10d+%2B+25q+=+230\"
\n" ); document.write( "\"n+%2B+d+%2B+q+=+22\"
\n" ); document.write( "\"d+=+4q\"
\n" ); document.write( "My approach would be to get the 1st equation in terms of
\n" ); document.write( "nickels and quarters only. I will multiply both sides of
\n" ); document.write( "the 2nd equation by \"-5\" and add them
\n" ); document.write( "\"-5n+-5d+-5q+=+-110\"
\n" ); document.write( "\"5n+%2B+10d+%2B+25q+=+230\"
\n" ); document.write( "\"5d+%2B+20q+=+120\"
\n" ); document.write( "Now substitute the 3rd equation for \"d\"
\n" ); document.write( "\"5%2A%284q%29+%2B+20q+=+120\"
\n" ); document.write( "\"40q+=+120\"
\n" ); document.write( "\"q+=+3\"
\n" ); document.write( "\"d+=+4q\"
\n" ); document.write( "\"d+=+4%2A3\"
\n" ); document.write( "\"d+=+12\"
\n" ); document.write( "Ther are 12 dimes in the bank
\n" ); document.write( "check:
\n" ); document.write( "\"n+%2B+d+%2B+q+=+22\"
\n" ); document.write( "\"n+%2B+12+%2B+3+=+22\"
\n" ); document.write( "\"n+=+7\"
\n" ); document.write( "\"5n+%2B+10d+%2B+25q+=+230\"
\n" ); document.write( "\"5%2A7+%2B+10%2A12+%2B+25%2A3+=+230\"
\n" ); document.write( "\"35+%2B+120+%2B+75+=+230\"
\n" ); document.write( "\"230+=+230\"
\n" ); document.write( "OK
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