Ajar contains n nickels and d dimes. there are 26 coins in the jar, and the total value of the coins is $1.80. how many nickels and how many dimes are in the jar?

There are 16 nickels and 10 dimes in the jar.

Step-by-step explanation:

Given:

A jar contains n nickels and d dimes.

There are 26 coins in the jar.

The total value of the coins is $1.80.

Now, to find the number of nickels and dimes in the jar.

As given nickels =

And dimes =

So, the total number of coins:

........(1)

The value of a nickel = $0.05.

And the value of a dime = $0.10.

Now, the total value of the coins:

Putting the value of from equation (1) we get:

⇒

⇒

⇒

Subtracting both sides by 2.6 we get:

⇒

Dividing both sides by -0.05 we get:

⇒

So, the number of nickels = 16.

Now, to get the number of dimes we put the value of in equation (1):

⇒

⇒

Thus, the number of dimes = 10.

Therefore, there are 16 nickels and 10 dimes in the jar.