Answer:
The number of dimes = 9
The number of nickels = 15
Step-by-step explanation:
The total value of all coins = $1.65
Let us assume the number of dimes = m
So, the number of nickels = Number of dimes + 6 = m +6
Now, 1 dime = $0.1
So, m dimes = m x ( $0.1) = 0.1 m
Also, 1 nickel = $0.05
So, (m +6) nickel = (m+6) x ( $0.05) = 0.05 m + 0.3
⇒ The value of m dimes + (m+6) nickels
= 0.1 m + 0.05 m + 0.3 = 0.15 m + 0.3
Also, the total value of coins is given as: $1.65
⇒ 0.15 m + 0.3 = 1.65
or, 0.15 m = 1.35
or, m = 1.35/0.15 = 9
or, m = 9
Hence, the number of dimes = 9
And the number of nickels = m + 6 = 9 + 6 =15
