Question

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

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

Answer: 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 :

$x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)$

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

$x+5y=93........................(3)$

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

$4y=52\\\\\Rightarrow\ y=13$

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.