document.write( "Question 182114: Hi
\n" ); document.write( "I have 88 coins to the value of $11.40,I have some 5 cents,25 cents and three time more 10cents then 25 cents.How many of each tipe of coins do I have?
\n" ); document.write( "How do I put it in a equation to solve it?
\n" ); document.write( "Thanks
\n" ); document.write( "Vasea
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Algebra.Com's Answer #136712 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I have 88 coins to the value of $11.40,I have some 5 cents, 25 cents and three time more 10 cents than 25 cents. How many of each type of coins do I have?
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\n" ); document.write( "Let n = no. of nickels (5 cents)
\n" ); document.write( "Let d = no. of dimes(10 cents)
\n" ); document.write( "Let q = no. of quarters{25 cents)
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"I have 88 coins\"
\n" ); document.write( "n + d + q = 88
\n" ); document.write( ":
\n" ); document.write( "\" to the value of $11.40,\"
\n" ); document.write( ".05n + .10d + .25q = 11.40
\n" ); document.write( ":
\n" ); document.write( "\"three times more 10 cents then 25 cents.\"
\n" ); document.write( "d = 3q
\n" ); document.write( ":
\n" ); document.write( "Using the 1st equation, replace d with 3q
\n" ); document.write( "n + 3q + q = 88
\n" ); document.write( "n + 4q = 88
\n" ); document.write( ":
\n" ); document.write( "Using the 2nd equation, do the same
\n" ); document.write( ".05n + .10(3q) + .25q = 11.40
\n" ); document.write( ".05n + .30q+ .25q = 11.40
\n" ); document.write( ".05n + .55q = 11.40
\n" ); document.write( ":
\n" ); document.write( "Multiply the above equation by 20, this makes .05 = 1; subtract (n + 4q = 88)
\n" ); document.write( "n + 11q = 228
\n" ); document.write( "n + 4q = 88
\n" ); document.write( "-----------------subtraction eliminates n, find d
\n" ); document.write( "7q = 140
\n" ); document.write( "q = \"140%2F7\"
\n" ); document.write( "q = 20 quarters
\n" ); document.write( ":
\n" ); document.write( "Use n + 4q = 88 to find n
\n" ); document.write( "n + 4(20) = 88
\n" ); document.write( "n + 80 = 88
\n" ); document.write( "n = 88 - 80
\n" ); document.write( "n = 8 nickels
\n" ); document.write( ":
\n" ); document.write( "we know d = 3q
\n" ); document.write( "d = 3(20)
\n" ); document.write( "d = 60 dimes
\n" ); document.write( ":
\n" ); document.write( "Check solution in the $ equation
\n" ); document.write( ".05(8) + .10(60) + .25(20) =
\n" ); document.write( ".40 + 6.00 + 5.00 = 11.40\r
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