Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co
in are there?
1 answer:
Answer:
77 nickels
106 dimes
Step-by-step explanation:
Let there be n nickes and d dimes
Since there are 183 coins, we can write:
n + d = 183
Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:
0.05n + 0.1d = 14.45
Solving 1st equation for n, we have:
n = 183 - d
Putting this into 2nd equation and solving for d:

There are 106 dimes
Since, n = 183 - d
n = 183 - 106
n = 77
There are 77 nickels
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