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Question

The ratio of Alan’s money to Bob’s money was 2 : 1. After Alan saved another $60 and Bob spent $150, the ratio became 4 : 1. How much money did Alan have at first?

 

Pls help to solve, thanks!

Answer

post-22685

Model method

The first equation is from comparing A in the 2 models

Hope it helps 🙂

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We can form the following two equations:

2u + 60 = 4p (1)

1u – 150 = 1p (2)

(2) also means

4u – 600 = 4p (3)

Compare (1) with (3),

2u + 60 = 4u – 600

2u = 600 + 60 = 660

Alan at first = 2u = 660 (Ans)

Hope it helps 🙂

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