Question

A pile of 24 coins consists of nickels and dimes. The total value of the coins is $1.90. Find the number of each type of coin.

a) Nickels: 12, Dimes: 12
b) Nickels: 14, Dimes: 10
c) Nickels: 10, Dimes: 14
d) Nickels: 8, Dimes: 16

Answer 1

To find the number of nickels and dimes, we can set up a system of equations. By solving the system, we find that the number of nickels is 10 and the number of dimes is 14.

Step-by-step explanation:

To find the number of nickels and dimes, we can set up a system of equations.

Let's say the number of nickels is 'n' and the number of dimes is 'd'.

We know that the total number of coins is 24, so we can write the equation: n + d = 24

We also know that the total value of the coins is $1.90, so we can write the equation: 0.05n + 0.10d = 1.90

We can solve this system of equations using any method we prefer, such as substitution or elimination.

By solving the system, we find that the number of nickels is 10 and the number of dimes is 14.

Therefore, the answer is (c) Nickels: 10, Dimes: 14.