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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?

 May 6, 2024
 #1
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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 25x+17(x360)+360=x

 

We have 25x+17x3607+360=x. Combining like terms and isolating x, we have 21607=1635x

 

We multiply both sides by 35/16, and we have 351621607=x

 

So we have x=675

 

$675!

 

Thanks!

 May 6, 2024

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