Question 357513
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Hi,
Let x be the number of dimes. then # of quarters would be 2x and 
# of nickels would be (x+10)

5(x+10) + 10x + 25*2x = 2000cents
Simplify and Solve
5x + 50 + 10x + 50x = 2000 cents
65x = 1950
x = 1950/65
x = 30
Corey has 30 dimes, 60 quarters and 40 nickels
checking the nswer
5*40 + 10*30 + 25*60 = 200 + 300+ 1500 = 2000cents