Math Question
Below is one of math question in Math Olympiad For Primary School.
Amanda and Cindy share a sum of money. If Amanda gives 1/3 of her share
to Cindy, Cindy will have $48 more than Amanda. If Amanda gives 1/6 of her share to Cindy, Cindy will have $30 more than Amanda. What is the ratio of Amanda’s share to Cindy’s share?
Solution:
At the end, Cindy will have $30 more than Amanda.
So,
3u + $48 – 5u = $30
2u = $18
1u = $9
Initial amount of:
Amanda = 6u = 6 × 9 = $54
Cindy = 2u + $48 = 2 × 9 + 48 = $66
Ratio of Amanda : Cindy = $54 ? $66 = 9 ? 11
April 4, 2011 | Filed Under Mathematics
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