Hi,

Let x represent number of dimes.  then (40-x) would be the number of nickels.

5(40-x) + 10x  = 240 cents

200 - 5x + 10x = 240

5x = 40

x = 8, the number of dimes.  Number of nickels would be 32 (40-8)

checking our answer

5*32 + 10*8 = 160 + 80 = 240 cents 

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