# Thomas has a collection of 25 coins some are dimes and some are quarters. If the total value of all the coins is $5.05, how many of each kind of coin are there?

##### 1 Answer

Nov 24, 2016

Thomas has 8 dimes and 17 quarters

#### Explanation:

To start, let's call the number of dimes Thomas has

Then, because we know he has 25 coins we can write:

We also know the combination of dimes and quarters add up to

Solving the first equation for

We can now substitute

We can now substitute