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You can click here and read the posting **A family in Singapore** about Sarin’s family.

Read also the posting on **Sarin learns the concept of Ratio in School (mathematics concept)**** **to understand the concept of Ratio.

*Challenge yourself with the question before look for the given solution‼!*

**Upper primary school mathematics question UPQ480**

The ratio of the mass of Sarin to the mass of Fatimah is 5 : 3. The ratio of the mass of Hairu to the mass of Fatimah is 5 : 4. Hairu weighs 30 kg, what is the mass of Sarin?

Solution:

Draw the math model,

The ratio of Hairu’s mass to Fatimah’s mass is 5 : 4

5 units = 30

1 unit = 6 kg

The mass of Fatimah = 4 × 6 = 24 kg

The ratio of Sarin’s mass to Fatimah’s mass is 5 : 3

3 units = 24

1 unit = 8 kg

The mass of Sarin = 5 × 8 = 40 kg

Alternative Solution:

The mass ratio,

Sarin : Fatimah = 5 : 3 = 20 : 12

Hairu : Fatimah = 5 : 4 = 15 : 12

Sarin : Fatimah : Hairu = 20 : 12 : 15

The weigh of Hairu is 30kg

15 units = 30

1 unit = 2kg

The mass of Sarin = 20 × 2 = 40 kg

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