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Read the posting on **Sarin participates in school anniversary event part 1 **for story on school anniversary.

Read the posting on ** Sarin learns concept of ratio in school** to understand Ratio.

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

**Upper primary school mathematics question UPQ579**

Fatimah were given equal number funfair coupons to sell. They did not manage to completely sell all their share of coupons. Sarin sold 7 times as many coupons as Hairu and was left with 15 unsold coupons . 1/2 of the coupons sold by Fatimah was 5 more than those by Hairu. The 3 of them sold a total of 260 funfair coupons.

a. How many coupons did Fatimah sell?

b. How many coupons did each of them receive?

Solution:

a. The total number of coupons sold = 260

From the model,

10 units + 10 = 260

10 units = 250

1 units = 25 coupons

The number that Fatimah sold = 2 × 25 + 10 = __60__ coupons

b. The number of coupons each of them has = 7 × 25 + 15 = __190__ coupons

__Alternative solution:__

Half of Fatimah sold was 5 more than Hairu sold,

Fatimah : Hairu = (2U+10) : 1U

Sarin sold 7 times as many as Hairu sold,

Sarin : Hairu = 7U : 1U

The ratio of number of coupons sold,

Sarin : Hairu : Fatimah = 7U : 1U : (2U+10)

In total, 7U + 1U + 2U + 10 = 10U + 10

Given the total number of ticket sold = 260

Hence,

10U = 250

1U = 25

a. The number of coupons sold by Fatimah = 2 × 25 + 10 = __60__

b. The number of coupons each of them has at first

= 7 × 25 + 15 = __190__

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