Question 69526
"Marcela has a collection of nickels, dimes, and quarters worth $24.75. The number of dimes is 10 more than twice the number of nickels, and the number of quarters is 25 more than the number of dimes. How many coins of each kind does she have?" 
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Let number of nickels be "x"; Value of these is 5x cents
Number of dimes is "2x+10 ; Value of these is 10(2x+10)=20x+100 cents
Number of quarters is "2x+10+25"=2x+35: Value is 25(2x+35)= 50x+875 cents
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EQUATION:
value + value + value = 2475 cents
5x + 20x+100 + 50x+875 = 2475
75x + 975 = 2475
75x=1500
x=20 (number of nickels)
2x+10= 2*20+10 = 50 dimes
2x+35=2*20+35=75 quarters
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Cheers,
Stan H.