Ratio: Orchard MRT

 On the MRT, the ratio of men to women was 2 : 1.

At Orchard Station, one fifth of the men and some women alighted from the train. The ratio of men to women became 8 : 1. At Newton Station, 20 men and 160 men boarded the train. There were the same number of men and women left the train.

(a) How many passengers were there in the train after Newton Station?

(b) How many women alighted from the train?

Solution:

Let's work out the model to solve it

By looking into the model, the answer to each question can be found easily

1. After Newton Station, there will be (8u + 20) men and (u + 160) women, total of 180 + 180 = 360 passengers.
2. Women alighted at Orchard only, which is 4u = 80 of them.