document.write( "Question 1034527: kevin and randy muise have a jar containing 31 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.35. How many of each type of coin do they have? \n" ); document.write( "
Algebra.Com's Answer #649188 by ikleyn(52799)\"\" \"About 
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\n" ); document.write( "kevin and randy muise have a jar containing 31 coins, all of which are either quarters or nickels.
\n" ); document.write( "The total value of the coins in the jar is $5.35. How many of each type of coin do they have?
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\n" ); document.write( "\n" ); document.write( "Coin problems are straight forward to solve. You write two equations - one for the total number of coins and the other for the total value of the coins.
\n" ); document.write( "Let n = the number of nickles
\n" ); document.write( "Let q = the number of quarters
\n" ); document.write( "Then for your problem we have
\n" ); document.write( "(1) n + q = 31 and
\n" ); document.write( "(2) 5*n + 25*q = 100*5.35 (always work in cents to avoid decimal numbers) or
\n" ); document.write( "(3) 5*n + 25*q = 535
\n" ); document.write( "Now substitute n of (1) into (3) and get
\n" ); document.write( "(4) 5*(31 - q) + 25*q = 535 or
\n" ); document.write( "(5) 155 - 5*q + 25*q = 535 or
\n" ); document.write( "(6) 20*q = 535 - 155 or
\n" ); document.write( "(7) 20*q = 380 or
\n" ); document.write( "(8) q = 19
\n" ); document.write( "Then using (1) we get
\n" ); document.write( "(9) n + 19 = 31 or
\n" ); document.write( "(10) n = 12
\n" ); document.write( "Let's check these values.
\n" ); document.write( ".05*12 + .25*19 = 5.35. Yes!
\n" ); document.write( "Answer: Kevin and Randy have 12 nickles and 19 quarters in the jar.\r
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