document.write( "Question 897265: Okay, so I have a word problem that I need some help with I've already tried a few things and I just don't understand how to write it as an equation so that I can solve it:\r
\n" ); document.write( "\n" ); document.write( "PIGGY BANKS: When a child emptied her coin bank, she had a collection of pennies, nickels, and dimes. There were a total of 20 pennies and a combine total of 25 nickels and dimes. if the coins had a total value of 220 cents, how many nickels and dime were in the bank?
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\n" ); document.write( "so I have:
\n" ); document.write( "20 pennies; 25 nickels and dimes = $ .220
\n" ); document.write( "N = nickels
\n" ); document.write( "D = dimes
\n" ); document.write( "VALUE: nickel = 5 cent; dime = 10 cents; penny = 1 cent\r
\n" ); document.write( "\n" ); document.write( "---- number * value = total value\r
\n" ); document.write( "\n" ); document.write( "---- 20+5N+10D=220?.... did I write that write, because I don't think I did. I need help writing the right equation so if you could please get back to me.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #544058 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Okay, so I have a word problem that I need some help with I've already tried a few things and I just don't understand how to write it as an equation so that I can solve it:\r
\n" ); document.write( "\n" ); document.write( "PIGGY BANKS: When a child emptied her coin bank, she had a collection of pennies, nickels, and dimes. There were a total of 20 pennies and a combine total of 25 nickels and dimes. if the coins had a total value of 220 cents, how many nickels and dime were in the bank?
\n" ); document.write( "
\n" ); document.write( "so I have:
\n" ); document.write( "20 pennies; 25 nickels and dimes = $ .220
\n" ); document.write( "N = nickels
\n" ); document.write( "D = dimes
\n" ); document.write( "VALUE: nickel = 5 cent; dime = 10 cents; penny = 1 cent\r
\n" ); document.write( "\n" ); document.write( "---- number * value = total value\r
\n" ); document.write( "\n" ); document.write( "---- 20+5N+10D=220?.... did I write that write, because I don't think I did. I need help writing the right equation so if you could please get back to me.
\n" ); document.write( "

\n" ); document.write( "Let the number of nickels and dimes be N, and D, respectively
\n" ); document.write( "Since there are a total of 25 nickels and dimes, then we can say that: N + D = 25 ------- eq (i)
\n" ); document.write( "We already know that from the 220 cents, or $2.20, pennies make up 20 cents, or $0.20, so the value
\n" ); document.write( "of the 25 nickels and dimes is 200 cents, or $2
\n" ); document.write( "Therefore, value equation is: .05N + .1D = 2 ------ eq (ii)
\n" ); document.write( "If decimals are a problem, then you can multiply equation (ii) by 20 to get: N + 2D = 40 ------ eq (ii)\r
\n" ); document.write( "\n" ); document.write( "The 2 equations, thus formed are:
\n" ); document.write( "N + D = 25 ------ eq (i)
\n" ); document.write( "N + 2D = 40 ----- eq (ii)
\n" ); document.write( "- D = - 15 ------ Subtracting eq (ii) from eq (i)
\n" ); document.write( "D, or number of dimes = \"%28-+15%29%2F-+1\", or \"highlight_green%2815%29\"
\n" ); document.write( "N + 15 = 25 ------ Substituting 15 for D in eq (i)
\n" ); document.write( "N, or number of nickels = 25 - 15, or \"highlight_green%2810%29\"
\n" ); document.write( "You can do the check!! \r
\n" ); document.write( "\n" ); document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. \r
\n" ); document.write( "\n" ); document.write( "For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL
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