document.write( "Question 160966: Amanda has some pennies, nickels, dimes, and quarters in her piggy bank. There is more than $1.50 and less than $2.25. Using the clues, determine how much money Amanda has.
\n" ); document.write( "-there are 4 times as many nickels as quarters
\n" ); document.write( "-there are twice as many quarters as dimes
\n" ); document.write( "-there is an equal number of pennies and dimes\r
\n" ); document.write( "\n" ); document.write( "Thank you for you help!! \n" ); document.write( "

Algebra.Com's Answer #118629 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
OK, we'll let x=number of dimes
\n" ); document.write( "Then x=number of pennies, also
\n" ); document.write( "And 2x=number of quarters
\n" ); document.write( "And 4*2x=8x=number of nickels
\n" ); document.write( "Now we can set up our equation (or inequality) to solve:
\n" ); document.write( "(Lets deal in pennies to get rid of the decimals)
\n" ); document.write( "150<(x+10x+5*8x+25*2x)<225 simplifying
\n" ); document.write( "150<(x+10x+40x+50x)<225 collecting like terms, we have:
\n" ); document.write( "150<(101x)<225 divide each term by 101
\n" ); document.write( "1.48<(x)<2.23 since we cannot have a fraction of a coin, x has no choice but to be 2
\n" ); document.write( "For x=2, we have
\n" ); document.write( "2 pennies 2*1=2
\n" ); document.write( "2 dimes 2*10=20
\n" ); document.write( "4 quarters 4*25=100
\n" ); document.write( "16 nickels 16*5=80
\n" ); document.write( "TOTAL-------202 or $2.02 cents\r
\n" ); document.write( "\n" ); document.write( "And this satisfies the inequality\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

\n" );