document.write( "Question 1172223: Chris has a change jar that contains $2.19 in quarters and pennies. He has 11 more pennies than quarters. How many of each type of coin does he have?\r
\n" ); document.write( "\n" ); document.write( "Tiana has a change jar that contains $3.50 in dimes and nickels. She has 12 times as many nickels as dimes. How many of each type of coin does she have?\r
\n" ); document.write( "\n" ); document.write( "Kelsey has a change jar that contains $2.45 in nickels and quarters. The number of nickels is 7 more than two times the number of quarters. How many of each type of coin does she have?\r
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Algebra.Com's Answer #797166 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing your problems for you, I'll change only the numbers and work\r\n" );
document.write( "problems exactly like yours step by step, that you can use as models to solve\r\n" );
document.write( "your problems by.  Notice that the numbers are different but they are worked\r\n" );
document.write( "exactly the same way:\r\n" );
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Chris has a change jar that contains $2.51 in quarters and pennies. He
\n" ); document.write( "has 17 more pennies than quarters. How many of each type of coin does he have?
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document.write( "q = number of quarters \r\n" );
document.write( "$0.25q = value of all the quarters\r\n" );
document.write( "q+17 = number of pennies   <-- the more...than... tells us to ADD q and 17.\r\n" );
document.write( "$0.01(q+17) = value of all the pennies\r\n" );
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document.write( "$0.25q + $0.01(q+17) = $2.51\r\n" );
document.write( "   25q +     1(q+17) =   251\r\n" );
document.write( "       25q + 1q + 17 = 251\r\n" );
document.write( "            26q + 17 = 251\r\n" );
document.write( "Subtract 17 from both sides\r\n" );
document.write( "                 26q = 234\r\n" );
document.write( "Divide both sides by 26\r\n" );
document.write( "                   q = 9     <-- So Chris has 9 quarters   \r\n" );
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document.write( "q+17 = number of pennies = 9+17 = 26 <-- So Chris has 26 pennies\r\n" );
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document.write( "
Tiana has a change jar that contains $3.90 in dimes and nickels. She has
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document.write( "d = number of dimes \r\n" );
document.write( "$0.10d = value of all the dimes\r\n" );
document.write( "11∙d = number of nickels    <--the word \"times\" tells us to multiply 11 by d.\r\n" );
document.write( "$0.05(11∙d) = value of all the nickels\r\n" );
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document.write( "$0.10d + $0.05(11∙d) = $3.90\r\n" );
document.write( "   10d +     5( 11d) =   390\r\n" );
document.write( "           10d + 55d = 390\r\n" );
document.write( "                 65d = 390\r\n" );
document.write( "Divide both sides by 65\r\n" );
document.write( "                   d = 6     <-- So Chris has 6 dimes   \r\n" );
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document.write( "11∙d = number of nickels = 11∙6 = 66 <-- So Tiana has 66 nickels\r\n" );
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Kelsey has a change jar that contains $2.40 in nickels and quarters. The number
\n" ); document.write( "of nickels is 8 more than three times the number of quarters. How many of each
\n" ); document.write( "type of coin does she have?
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document.write( "q = number of quarters \r\n" );
document.write( "$0.25q = value of all the quarters\r\n" );
document.write( "3q+8 = number of nickels  <--the \"more than three times\" tells us to ADD 3q and  7.\r\n" );
document.write( "$0.05(3q+8) = value of all the nickels\r\n" );
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document.write( "$0.25q + $0.05(3q+8) = $2.40\r\n" );
document.write( "   25q +     5(3q+8) =   240\r\n" );
document.write( "      25q + 15q + 40 = 240\r\n" );
document.write( "            40q + 40 = 240\r\n" );
document.write( "Subtract 40 from both sides\r\n" );
document.write( "                 40q = 240\r\n" );
document.write( "Divide both sides by 35\r\n" );
document.write( "                   q = 5     <-- So Kelsey has 5 quarters   \r\n" );
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document.write( "3q+8 = number of nickels = 3(5)+8 = 15+8 = 23 <-- So Kelsey has 23 nickels\r\n" );
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document.write( "Edwin

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