Answer:
Step-by-step explanation:
n and d are the number of nickels and dimes, respectively.
"total of 31 coins"
n + d = 31
"amount of money is $2.25"
0.05n + 0.10d = 2.25
From the first equation:
d = 31-n
Substitute into the second equation:
0.05n + 0.10(31-n) = 2.25
0.05n + 3.1 - 0.10n = 2.25
-0.05n = -0.85
n = 17
d = 31-n = 14
There are 17 nickels and 14 dimes.
