kate has $2.95 in quarters and nickels and the total number of ocins is 23 how many quarters and how many nickels does kat have

The total number of nickels is 14 and the total number of quarters is 9 and this can be determined by forming the linear equation.

Given :

kate has $2.95 in quarters and nickels and the total number of coins is 23.

The following steps can be used in order to determine the total number of quarters and nickels Kat have:

Step 1 - Let the total number of quarters be 'x' and the total number of nickels be 'y'.

Step 2 - Remember one quarter is equal to $0.25 and one nickel is $0.05.

Step 3 - The total amount of money Kat has:

0.25x + 0.05y = 2.95 --- (1)

Step 4 - Total number of coins is given by:

x + y = 23

x = 23 - y --- (2)

Step 5 - Substitute the value of 'x' in equation (1).

0.25(23 - y) + 0.05y = 2.95

5.75 - 0.25y + 0.05y = 2.95

2.8 = 0.20y

y = 14

Step 6 - Now, substitute the value of 'y' in equation (2).

x = 23 - 14

x = 9

So, the total number of nickels is 14 and the total number of quarters is 9.

For more information, refer to the link given below:

https://brainly.com/question/11897796