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
This blog is managed by Song Hock Chye, author of Improve Your Thinking Skills in Maths (P1-P3 series), which is published and distributed by EPH.
Wednesday, April 14, 2010
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q13
Labels:
Fractions,
Mathematics,
Rate
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