Question

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 coin are there?

Answer 1

77 nickels

106 dimes

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:

`0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106`

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels