Hi, 

Let x be the number of dimes, nickels (47-x)

5 cents! in a nickel and 10 cents! in a dime

5(47-x) + 10x = 315 cents    |Using cents ...makes sense here

5x = 315 - 5*47

5x = 80

x = 16, the number of Dimes

47-16 = 31 the number of Nickels

CHECKING our answer***

16*10 + 31*5 = 160 + 155 = 315cents

Wish You the Best in your Studies. 

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