document.write( "Question 395291: betty has $2.20 in dimes and quarters. If the number of dimes is 1/4 the number of quarters, how many dimes does she have. \n" ); document.write( "
Algebra.Com's Answer #280551 by jrfrunner(365)![]() ![]() You can put this solution on YOUR website! you have two unknowns d=number of dimes and q=number of quarters \n" ); document.write( "so you need two equations to find the two unknowns \n" ); document.write( "-- \n" ); document.write( "given \n" ); document.write( "eq1: d=1/4q or 4d=q \n" ); document.write( "eq2: 0.1d+0.25d=2.20 \n" ); document.write( "- \n" ); document.write( "multiply eq2 by 100 to eliminate decimals \n" ); document.write( "10d+25d=220 \n" ); document.write( "10d+25(4d)=220 substitute 4d=q \n" ); document.write( "110d=220 \n" ); document.write( "d=220/110=2 or 2 dimes \n" ); document.write( "since q=4d then 8 quarters \n" ); document.write( " |