Charlotte has a total of 23 nickels and dimes worth $1.85.
Let us assume
Number of nickels = n
Number of dimes =d
Total number of coins = 23
so n + d= 23
Now nickels and dimes worth $1.85.
We know that 1 nickel = 5 cents and 1 dime = 10 cents
convert $1.85 in to cents . $1.85 = 185 cents
5 n + 10 d = 185
Now we solve both the equations
n + d= 23 => n = 23-d
Replace n with 23-d in the second equation
5 (23- d) + 10 d = 185
115 - 5d +10 d = 185
Add like terms
115 + 5d = 185
Subtract 115 from both sides
5d = 70
Divide both sides by 5
so d = 14
n = 23 - d
Replace 14 for d
n = 23 - 14 = 9
The number of nickels = 9
Number of dimes = 14