Question

A collection of dimes and nickels had a value of 230 cents. If there were 33 coins in total, how many were dimes?

a) 10
b) 15
c) 18
d) 20

Answer 1

To find the number of dimes and nickels, set up a system of equations to represent the number of coins and their values. Solve the system of equations to find the number of dimes. The option b) 15 is correct answer.

Step-by-step explanation:

To find the number of dimes, we need to set up a system of equations. Let's assume that the number of dimes is represented by 'd' and the number of nickels is represented by 'n'. Since there are 33 coins in total, we can write the equation: d + n = 33.

Since the value of a dime is 10 cents and the value of a nickel is 5 cents, the equation for the value of the coins is: 10d + 5n = 230.

We can now solve this system of equations using substitution or elimination method to find the value of 'd', which represents the number of dimes. The correct answer is (b) 15.