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)\"\" \"About 
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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
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\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
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