41 coins, consisting of nickels and quarters, have a total value of $4.65. how many coins of each kind are there?

28 nickels and 13 quarters

Step-by-step explanation:

Let the number of nickels represented by x and the number of quarters represented by y.

Then according to the question, we have the following equations :

Divide 0.05 on both sides  of equation (2), we get

Subtract equation (1) from equation (3) , we get

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!