Ihave 30 coins consisting of nickels and quarters. the total value of the coins is $4.10. how many of each kind do i have?

17 nickels and 13 quarters.

Step-by-step explanation:

1 Nickel = 0.05 dollar

1 quarter = 0.25 dollar

Let the number of nickels = n

Let the number of quarters = q

Total number of coins =  n + q = 30 ------(1)

The value of coins = 0.05n + 0.25q = 4.10

By dividing this equation by 0.05

                                  n + 5q = 82 -------(2)

Now we subtract equation (2) from equation (1)

(n + 5q) - (n + q) = 82 - 30

5q - q = 52

4q = 52

q =

q = 13

By putting n = 13 in the equation (1)

n = 30 - 13 = 17

In 30 coins 17 are nickels and 13 are quarters.