document.write( "Question 614532: Sue has 122 coins, nickels, dimes and quarters. The total value is 15.00 and the total value of quarters is 4 times the value of nickels. How many of each kind did Sally have \n" ); document.write( "

Algebra.Com's Answer #386591 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "total value of quarters is 4 times the value of nickels
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document.write( "Let x and y represent number of quarters and nickels respectively
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document.write( "Note:  CENTS makes sense:
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document.write( "   25x = 4(5y)  OR y = (25/20)x = (5/4)x
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document.write( "Sue has 122 coins, nickels, dimes and quarters
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document.write( "Let x ,(5/4)x and (122 - (9/4)x) represent the number of quarters nickels & dimes respectively
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document.write( "Question states*** total value is 15.00  Again: CENTS makes sense
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document.write( " 25x + 5(5/4)x + 10(122 - (9/4)x) = 1500
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document.write( "     25x + 25/4x + 1220 - 90/4)x = 1500
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document.write( "     25x + 25/4x  - (90/4)x = 280
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document.write( "               (35/4)x = 280
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document.write( "                     x = 280(4/35)
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document.write( "                     x = 32, number or quarters, 40 nickels and 50 dimes
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document.write( "32*25 + 50*10 + 40*5 = 800 + 500+200 = 1500 or $15.00
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