Charlotte has a total of 23 nickels and dimes worth $1.85. How many of each type of coin does she have

Are you serious? really dude?

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