Sam has a jar contain 80 coins, all of which are either quarters or nickels. The total value of the coins is $14.60. How many of each type of coin does she have?

She have 53 type of quarters and 27 type of nickels.

Step-by-step explanation:

Given:

Sam has a jar contain 80 coins, all of which are either quarters or nickels.

The total value of quarters and nickels is $14.60.

Now, to get each type of coin she have.

Let the number of quarters be

And let the number of nickels be

So, total number of coins:

Now, the total value of coins:

Substituting the value of from equation (1):

Subtracting both sides by 4 we get:

Dividing both sides by 0.20 we get:

The number of quarters = 53.

Now, to get the number of nickels by substituting the value of in equation (1):

The number of nickels = 27.

Therefore, she have 53 type of quarters and 27 type of nickels.

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step-by-step explanatio89