# In a pile of nickels and dimes, the number of nickels is three times the number of dimes. If the pile is worth $1.75, how many nickels are there? ##### 1 Answer Nov 6, 2017 21 nickels. #### Explanation: Let $x$be the number of dimes. Let $3 x$be the number of nickels. $0.10 \left(x\right) + 0.05 \left(3 x\right) = 1.75$Distribute $0.05$: $0.1 x + 0.15 x = 1.75$Collect like terms: $0.25 x = 1.75$Divide both sides by $0.25$: $x = 7$$3 x = 21\$

Therefore, there are 7 dimes and 21 nickels in the pile.