Aloysius had some money at first. He spent $360 on a suit. He then spent 1/7 of his remaining money on shoes and had 2/5 of his money left. How much money did he have at first?

sugabreaddoughman May 6, 2024

#1**0 **

For this problem, you would have to set the amount of money as a variable.

They key is to essentially write a solvable equation to figure it out!

In fact, my parents used to give me a lot of problems similar to this one :)

So let's let that be x.

From the problem, we can get the equation \(\frac{2}{5}x+\frac{1}{7}(x-360)+360=x\).

We have \(\frac{2}{5}x + \frac{1}{7}x - \frac{360}{7}+360 = x\). Combining like terms and isolating x, we have \(\frac{2160}{7}=\frac{16}{35}x\).

We multiply both sides by 35/16, and we have \(\frac{35}{16} \cdot \frac{2160}{7} = x\).

So we have \(x = 675\)

$675!

Thanks!

NotThatSmart May 6, 2024