Answer: The correct option is (D) 35.
Step-by-step explanation: Given that a collection of nickels and dimes is worth $2.95 and there are total 47 coins.
We are to find the number of nickels.
We know that
1 nickel = $ 0.05 and 1 dime = $ 0.10.
Let, 'n' and 'd' represents the number of nickels and dimes in the collection.
Then, according to the given information, we have
Subtracting equation (i) from equation (ii), we get
and from equation (i), we get
therefore, there are 35 nickels in the collection.
Option (D) is correct.