document.write( "Question 182114: Hi
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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?
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document.write( "How do I put it in a equation to solve it?
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document.write( "Thanks
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document.write( "Vasea \n" );
document.write( "
Algebra.Com's Answer #136712 by ankor@dixie-net.com(22740)![]() ![]() 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? \n" ); document.write( ": \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 = \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |