document.write( "Question 312492: Jim has a total of 50 coins. Some are nickels and some are quarters. Altogether he has $4.10. How many quarters does he have? How many nickels? \n" ); document.write( "
Algebra.Com's Answer #223499 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each statement; n = no.of nickels; q = no. of quarters
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\n" ); document.write( "\"Jim has a total of 50 coins.\"
\n" ); document.write( "n + q = 50
\n" ); document.write( "n = (50-q); use this form for substitution
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\n" ); document.write( "\"Some are nickels and some are quarters. Altogether he has $4.10.\"
\n" ); document.write( ".05n + .25q = 4.10
\n" ); document.write( "Substitute (50-q) for n
\n" ); document.write( ".05(50-q) + .25q = 4.10
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\n" ); document.write( "2.5 - .05q + .25q = 4.10
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\n" ); document.write( "-.05q + .25q = 4.10 - 2.50
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\n" ); document.write( ".20q = 1.60
\n" ); document.write( "q = \"1.60%2F.20\"
\n" ); document.write( "q = 8 quarters
\n" ); document.write( "then
\n" ); document.write( "50 - 8 = 42 nickels
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\n" ); document.write( "Check solution:
\n" ); document.write( "42(.05) + 8(.25)
\n" ); document.write( "2.10 + 2.00 = 4.10\r
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