document.write( "Question 214173: I am a parent I want to help my child but i don't know how to do this. I'm not asking for the answer,(but i'm not turning it down either:>), but the necessary steps to take to solve this problem, so I may be able to help her. The question is Joshua had 142 coins, all nickels and quarters. The total amount was $15.30. HOw many coins of each type did he have? Solve this problem with Algebra using variables to stand for the number of nickels and the number of quarters. Thank you so much for whatever help you can provide me with. This question was not in a textebook. \n" ); document.write( "
Algebra.Com's Answer #161758 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Joshua had 142 coins, all nickels and quarters. The total amount was $15.30. HOw many coins of each type did he have?
\n" ); document.write( "-----------------
\n" ); document.write( "n + q = 142 (# of coins)
\n" ); document.write( "5n + 25q = 1530 (value of coins)
\n" ); document.write( "q = 142-n (from eqn 1)
\n" ); document.write( "Sub for q into eqn 2
\n" ); document.write( "5n + 25q = 1530
\n" ); document.write( "5n + 25(142-n) = 1530
\n" ); document.write( "5n + 3550 - 25n = 1530
\n" ); document.write( "-20n = -2020
\n" ); document.write( "n = 101 nickels
\n" ); document.write( "q = 41 quarters
\n" ); document.write( "--------------
\n" ); document.write( "101*5 + 41*25 = 505 + 1025
\n" ); document.write( "= 1530\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );