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Read the posting on** Sarin’s family in Kluang **about Sarin’s family venture in Kluang.

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

**Upper primary school mathematics question UPQ570**

Fatimah and Hairu were in Klung Mall with a total sum of $90. Fatimah spent twice as much as Hairu. The amount Hairu had left was $9 more than what he had spent. He had twice as much money left as Fatimah.

a. How much money did Hairu spend?

b. How much money did Fatimah have at first?

*Solution:*

From the model,

9U = 90 – 9 – 4.5 = 76.5

1U = $8.5

The amount spent by Hairu = 2 × 8.5 = $__17__

The amount Fatimah had at first = 5 × 8.5 + 4.5 = $__47__

__Alternative Solution:__

The amount that Hairu spent = 1U

The amount that Hairu left = 1U + 9

Since Fatimah spent twice as much as Hairu,

The amount that Fatimah spent = 2U

As Hairu left twice as much as Fatimah,

The amount that Fatimah left = (1U+9) ÷ 2

The total amount they had at first = $90

1U + 1U +9 + 2U + (1U+9) ÷ 2 = 90

4.5U = 90 – 9 – 4.5

4.5U = 76.5

1U = $__17__

The amount that Hairu spent = 1U = $17

The amount that Fatimah has at first

= 2U + (1U+9) ÷ 2

= 2 × 17 + (17 + 9) ÷ 2

= $__47__