# I don't know what type of math you categorize this questions but here it is. Please help.

#### Yaatski

##### New member
How much money would I start with if, in spending 1/5 and the 1/5 of the remaining amount, I had altogether spent 72 dollars?
Please show me how to solve this. I am currently preparing for an entrance exam and I would love if someone could help me with a few other questions over on discord. Thanks in advance.

#### Subhotosh Khan

##### Super Moderator
Staff member
How much money would I start with if, in spending 1/5 and the 1/5 of the remaining amount, I had altogether spent 72 dollars?
Please show me how to solve this. I am currently preparing for an entrance exam and I would love if someone could help me with a few other questions over on discord. Thanks in advance.
Assume yo ur starting amount = x

Then:

x/5 + 1/5 * 4 * x/5 = 72

Solve for 'x'.

#### JeffM

##### Elite Member
$$\displaystyle \dfrac{1}{5} * x + \dfrac{1}{5} * \left ( x - \dfrac{1}{5} * x \right )= 72 \implies \dfrac{x}{5} + \dfrac{1}{5} * \left ( \dfrac{5x}{5} - \dfrac{x}{5} \right ) = 72 \implies \dfrac{x}{5} + \dfrac{1}{5} * \dfrac{4x}{5} = 72.$$