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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 UPQ563**

Sarin, Hairu and Fatimah took their parents out for a dinner. If Sarin paid for the dinner, the amount of money that Sarin, Hairu and Fatimah left will be in the ratio 3 : 8 : 9 respectively. If Fatimah paid for the dinner, the amount of money Sarin, Hairu and Fatimah left would be in the ratio 5 : 4 : 1 respectively. If Hairu paid for the dinner, the amount of money Sarin, Hairu and Fatimah left would be in the ratio 10 : 1 : 9 respectively. Sarin had $40 more than Hairu. How much did the dinner cost?

Solution:

Disregarding of who paid for the dinner, the left over amount is the same.

If Sarin Paid,

Sarin : Hairu : Fatimah : Total = 3 : 8 : 9 : __20__

If Fatimah Paid,

Sarin : Hairu : Fatimah : Total = 5 : 4 : 1 : 10 = 10 : 8 : 2 : __20__

If Hairu Paid,

Sarin : Hairu : Fatimah : Total = 10 : 1 : 9 : __20__

When Fatimah paid, Sarin and Hairu need not to pay for the dinner,

The ratio of their money is the original amount

Sarin has $40 more than Hairu

The difference = $40 = 2 units

1 units = $20

When Sarin paid,

The amount he paid in units = 10 – 3 = 7 units

The dinner cost = 7 × 20 = $__140__

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