Answer:
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
