Percentage mix

Loki123

Full Member
Joined
Sep 22, 2021
Messages
790
Hopefully I am in the right category. If not please kindly inform me about the right one.

I don't have the original source of this problem.

It goes:
A goldsmith needs to mix gold with a fineness of 500%o and gold with a fineness of 800%o received 500 grams of gold with a fineness of 650%o. How much should he take 500%o fine gold and how much 800%o fine gold?

I know how to do it one way. But I was shown this way and I don't understand where it came from.

Can someone explain how they did this:
IMG_20220308_091625.jpg
 
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