CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q13

Abbie, Ellen and Faheem sold umbrellas to raise funds for charity. Each umberlla was priced at $22.50. Abbie sold 1/6 of the umbrellas while Ellen and Faheem sold the remaining umbrellas in the ratio of 2:7 respectively. If Faheem sold 364 umbrellas more than Abbie, what was the total amount of money collected by them?

Solution

Abbie --> 1/6
Remaining --> 5/6

Since ratio for Ellen : Faheem is 2 : 7,
Faheem sold 7/9 of remainder

Faheem (7/9 of the remaning 5/6)
--> 7/9 x 5/6 = 35/54

(Faheem - Abbie) --> 35/54 - 1/6 = 13/27
13/27 --> 364 (Faheem sold 364 more than Abbie)
1/27 --> 364 divided by 13 = 28
27/27 --> 27 x 28 = 756

756 x $22.50 = $17 010

Answer: $17 010

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