document.write( "Question 1022732: a bag contains 160 coins, there are coins of 10 and 25 cents. find the number of coin of 25 cents, if there is $26.80 in total \n" ); document.write( "
Algebra.Com's Answer #638343 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the number of dimes and quarters, x and y. Then we can write \n" ); document.write( "x + y = 160 and the value equation is \n" ); document.write( "10x + 25y = 2680 (we work in cents) \n" ); document.write( "Now multiply the top equation by ten and subtract it from the bottom...we get \n" ); document.write( "10x + 25y = 2680 \n" ); document.write( "-(10x + 10y = 1600) \n" ); document.write( "------------------- \n" ); document.write( "15y = 1080 \n" ); document.write( "and dividing by 15... \n" ); document.write( "y = 72 quarters...that means there are \n" ); document.write( "x = 160 - 72 = 88 dimes \n" ); document.write( " |