Using models to solve word problems - Singapore Math - Ratio

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In this video we solve a word problem using model techniques. The topic is on ratio. we use both model method and algebra to solve the given problem.

The ratio of Joshua's money to Kevin's money was 3:4 at first. After Joshua gave Kevin $24, the ratio of Joshua's money to Kevin's money became 1:2.. What was the total amount of money they had at first?
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thankyou this one is really helpful, do you have explanation about ratio one unchanged quantity and ratio unchanged difference, using algebra method ?

Hunter-gxfl