document.write( "Question 1190239: Jordan has pennies, nickels, dimes, and quarters. He has a total of $14.18. He has one more quarters than pennies and three fewer dimes than nickels. He also has ten more quarters than nickels and thirteen more quarters than dimes. How many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #821850 by ankor@dixie-net.com(22740)\"\" \"About 
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Jordan has pennies, nickels, dimes, and quarters.
\n" ); document.write( "p = no. of pennies
\n" ); document.write( "n = nickels
\n" ); document.write( "d = dimes
\n" ); document.write( "q = quarters
\n" ); document.write( "write an equation for each statement
\n" ); document.write( " He has a total of $14.18.
\n" ); document.write( ".01p + .05n + .10d + .25q = 14.18
\n" ); document.write( "get rid of all these decimals, mult by 100
\n" ); document.write( "p + 5n + 10d + 25q + 1418
\n" ); document.write( ":
\n" ); document.write( "we will try to get all variables in terms q
\n" ); document.write( " He has one more quarters than pennies
\n" ); document.write( "q = p + 1
\n" ); document.write( "p = q - 1
\n" ); document.write( " and three fewer dimes than nickels.
\n" ); document.write( "d = n - 3
\n" ); document.write( " He also has ten more quarters than nickels
\n" ); document.write( "q = n + 10
\n" ); document.write( "n = q - 10
\n" ); document.write( " and thirteen more quarters than dimes.
\n" ); document.write( "q = d + 13
\n" ); document.write( "d = q - 13
\n" ); document.write( "in the first equation (simplified),replace as follows
\n" ); document.write( "(q-1)+5(q-10)+10(q-13)+25q = 1418
\n" ); document.write( "q + 1 + 5q - 50 + 10q - 130 + 25q = 1418
\n" ); document.write( "q + 5q + 10q + 25q - 1 - 50 - 130 = 1418
\n" ); document.write( "41q - 181 = 1418
\n" ); document.write( "41q = 1418 + 181
\n" ); document.write( "41q = 1599
\n" ); document.write( "q = 1599/41
\n" ); document.write( "q = 39 quarters
\n" ); document.write( "then
\n" ); document.write( "p = 39 - 1 = 38 pennies
\n" ); document.write( "n = 39 - 10 = 29 nickels
\n" ); document.write( "d = 39 - 13 = 26 dimes
\n" ); document.write( ":
\n" ); document.write( "See if this checks out
\n" ); document.write( ".01(38) + .05(29) + .10(26) + .25(39) =
\n" ); document.write( ".38 + 1.45 + 2.60 + 9.75 = $14.18\r
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