document.write( "Question 951432: In Peter's piggy bank, there are 6 times as many dimes as quarters and 2 more nickels than quarters. If Peter has $11.8 in his bank, how many quarters does he have? \n" ); document.write( "
Algebra.Com's Answer #581078 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let d = no. of dimes \n" ); document.write( "let n = no. of nickels \n" ); document.write( "let q = no. of quarters \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( "; \n" ); document.write( "In Peter's piggy bank, there are 6 times as many dimes as quarters \n" ); document.write( "d = 6q \n" ); document.write( " and 2 more nickels than quarters. \n" ); document.write( "n = q + 2 \n" ); document.write( " If Peter has $11.8 in his bank, \n" ); document.write( ".05n + .10d + .25q = 11.80 \n" ); document.write( "replace n with (q+2); replace d with 6q \n" ); document.write( ".05(q+2) + .10(6q) + .25q = 11.80 \n" ); document.write( "do the math \n" ); document.write( ".05q + .10 + .6q + .25q = 11.80 \n" ); document.write( "collect like terms \n" ); document.write( ".05q + .6q + .25q = 11.80 - .10 \n" ); document.write( ".90q = 11.70 \n" ); document.write( "q = 11.70/.9 \n" ); document.write( "q = 13 quarters which is what they asked for \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "However to check this, find the no. of dimes and nickels \n" ); document.write( "n = 13 + 2 \n" ); document.write( "n = 15 nickels \n" ); document.write( "and \n" ); document.write( "d = 6(13) \n" ); document.write( "d = 78 dimes \n" ); document.write( "See if this adds up \n" ); document.write( ".05(15) + .10(78) + .25(13) = \n" ); document.write( ".75 + 7.80 + 3.25 = 11.80 \n" ); document.write( ": \n" ); document.write( "Did this make sense to you. Can you do these type of problems now? ankor@att.net\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |