Diana has $2.00 in dimes and nickels. She has a total of 26 coins. How many of each kind does she have?

Diana has 14 dimes and 12 nickels

Step-by-step explanation:

Create a system of equations, where d is the number of dimes and n is the number of nickels:

d + n = 26

0.1d + 0.05n = 2

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1n = -2.6

0.1d + 0.05n = 2

Add these together, then solve for n:

-0.05n = -0.6

n = 12

So, she has 12 nickels. To find the number of dimes, subtract 12 from 26, since there were 26 coins in total and we found that she had 12 nickels.

26 - 12

= 14

So, Diana has 14 dimes and 12 nickels