document.write( "Question 928118: Eight coins containing nickels, dimes and quarters equal $1.00. There are twice as many dimes as quarters. There are the same number of nickels as there are quarters. \n" ); document.write( "
Algebra.Com's Answer #563476 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Here's a similar problem: \n" ); document.write( "============================================ \n" ); document.write( "A man has 52 coins, all of which are dimes, quarters, and nickels. The total value of his change is $8.20. If the number of quarters is twice the number of nickels, how many of each does he have? \n" ); document.write( "================ \n" ); document.write( "---------- \n" ); document.write( "Use d, q & n, makes it clearer \n" ); document.write( "d + q + n = 52 \n" ); document.write( "10d + 25q + 5n = 820 \n" ); document.write( "q = 2n \n" ); document.write( "-------- \n" ); document.write( "Sub for q in the 1st 2 eqns \n" ); document.write( "--- \n" ); document.write( "d + 3n = 52 times 2 --> 2d + 6n = 104 \n" ); document.write( "10d + 50n + 5n = 820 \n" ); document.write( "10d + 55n = 820 /5 --> 2d + 11n = 164 \n" ); document.write( "------------ \n" ); document.write( "2d + 6n = 104 \n" ); document.write( "2d + 11n = 164 \n" ); document.write( "------------------- Subtract \n" ); document.write( "-5n = -60 \n" ); document.write( "n = 12 nickels \n" ); document.write( "etc \n" ); document.write( " |