# A boy spent one-half of his money for a book and one-third of his money for a pen. The remaining $2.25 he saved. How much money did he have originally?

##### 3 Answers

Let the money in the starting be

Then, he spend one half of his money for a book

book cost =

And he spend one-third on a pen

pen cost =

Now after this, $2.25 is left, we make the equation

We take LCM

Transfer 6 to RHS

The boy started with $13.5

$ **13.5** **,** hope it helps :)

#### Explanation:

$13.50

#### Explanation:

Given:

- The book costs half of his money

- The pen costs one-third of his money

- He has $2.25 left

In this case, let

So if the book costs half of his money then we can say that

book

While the pen is

pen =

So initially, the boy had

**So we know that the boy initially had $13.50**

Checking:

Book would cost

Pen would cost

Total cost of purchases

So if initially he had $13.50, then

$13.50 - $11.25 = $2.25