Answer:
25 dimes & 12 nickels
Step-by-step explanation:
Let there be "n" nickels and "d" dimes
Total, there are 37 of them, so we can write:
n + d = 37
Also, valueof nickel is 0.05 and value of dime is 0.10 (in dollars) and total value of these 37 coins is 3.10, so we can write:
0.05n + 0.10d = 3.10
Now we can write first equation as:
n + d = 37
n = 37 - d
Replace this into equation 2 and solve for d:
0.05n + 0.10d = 3.10
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25/0.05
d = 25
Now, n = 37 - d, n = 37 - 25 = 12
So,
There are 25 dimes & 12 nickels
