Lily and Kumar had an equal number of marbles. After a game, Lily lost 20 of her marbles. Lily then had 1/3 as many marbles as Kumar. How many marbles did each of them had at first?
Solution
2 units ----- 20
1 unit ----- 20 divided by 2 = 10
3 units ----- 3 x 10 = 30
Answer: They had 30 marbles each at first.
Friday, January 16, 2009
Tao Nan School P5 SA2 2007 Math Q41
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10 comments:
Information given in the question is not complete.
Corrected the missing portion. Thanks.
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Sorry but I think the answer of 30 marbles each of them had at first is incorrect. The difference of 20 in the model is wrong to begin with. The correct answer should be 40.
Hi
Each one of them has 30 marbles at first is the correct answer.
Hey. The correct answer should be 40. Please check the steps before posting your solution.
To Sanny,
Your answer is wrong. The question states that Lily lost 20 of her marbles. That means BEFORE she lost it, she had those twenty marbles with her and those twenty marbles she lost, plus the ones she did not lose, were equal to the number of marbles Kumar has.
So AFTER she lost 20 of her marbles, she only has 1/3 of Kumar’s. The difference of 2 units is therefore 20 marbles.
Your mistake is to assume that Lily LOST HER MARBLES TO Kumar. The question did not state that. Because you assume that, you make the mistake that the 2 units difference between Lily and Kumar after Lily lost it, is therefore 2 units --- 40.
Students are asked to read the questions carefully during exams. It is quite a waste if you lose marks because of careless mistakes.
That's tricky. Thanks for the explanation!
This question can be solved easily using Unit Transfer Method. Before and After concept, SIngle unchanged quantities as follows:
Lily Kumar
Before 1x3=3 1x3=3
Change -20
After 1 3
2u = 20
1u = 10
3u=30
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Hello, Somebody here..
the answer is 40 because after she lost 20 marbles she got 3units but if she did not lose 20 she will have 2units So
3units - 2units = 1units
1units->20
2units->20 X 2 = 40
Hello, Somebody here..
the answer is 40 because after she lost 20 marbles she got 3units but if she did not lose 20 she will have 2units So
3units - 2units = 1units
1units->20
2units->20 X 2 = 40
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