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An orange colored glass has Orange juice and white colored
glass has Apple juice both of equal volumes. 50ml of the
orange juice is taken and poured into the white glass. After
that similarly, 50ml from the white glass is poured into the
orange glass.
Of the two quantities, the amount of apple juice in the
orange glass and the amount of orange juice in the white
glass, which one is greater and by how much?
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Answer / guest
The two quantities are equal.
Solve it by taking example. Let's assume that both glasses
contain 450 ml of juice each.
Now, 50ml of the orange juice is taken and poured into the
White glass. Hence, orange colored glass contains 400 ml of
Orange juice and white glass contains 450 ml of Apple juice
and 50 ml of Orange juice i.e. total of 500 ml from white
glass contains 450 ml of Apple juice and 50 ml of Orange
juice. It means that every 50 ml from white glass contains
45 ml of Apple juice and 5 ml of Orange juice.
Similary, 50 ml of juice from white glass is poured into
orange glass. Now this 50 ml is not a pure apple juice. It
contains 45 ml of Apple juice and 5 ml of Orange juice.
Hence, Orange glass contains 405 ml of Orange juice and 45
ml of Apple juice. Similary, white glass contains 405 ml of
Apple juice and 45 ml of Orange juice.
Orange Glass White Glass
Orange Juice Apple Juice Orange Juice Apple Juice
Initially 450 ml 0 ml 0 ml 450 ml
50 ml from Orange Glass is poured into White Glass 400 ml
0 ml 50 ml 450 ml
50 ml from White Glass is poured into Orange Glass 405 ml
45 ml 45 ml 405 ml
Now it is clear that the amount of apple juice in the orange
glass and the amount of orange juice in the white glass are
the same.
P.S. Here we assumed 450 ml as initial quantity in both the
glasses just for simplicity. You can try the same by
assuming any other number. But the answer is the same.
| Is This Answer Correct ? | 29 Yes | 6 No |
Answer / hemanth
Just assume the total initial quantities to be 50ml. Then
you can intuitively come to the conclusion that it is equal,
no reason to complicate the thinking process
| Is This Answer Correct ? | 11 Yes | 2 No |
Answer / karthikeya subburaj
Suppose assume the total initial quantities to be 500 ml.
After 50ml is poured to white glass, it becomes 550ml.
i.e 500 + 50 (10:1) ratio
Again 50ml is poured to orange glass, it is in the ratio
10:1 (i.e) 45.45: 4.54 of apple juice : orange juice
so, Now the orange glass becomes
Orange juice = 450 + 4.54 = 454.54ml
Apple juice = 45.45ml
In the White glass,
Apple juice = 454.54ml
Orange jucie = 45.45ml
so, the amount of apple juice in the
orange glass and the amount of orange juice in the white
glass are equal.
| Is This Answer Correct ? | 3 Yes | 1 No |
Answer / albert patrick sankoh
Assuming that both glasses contain 250ml of juice each.
50ml of juice taken from orange glass leaves orange glass with 200ml of juice and white glass with 250ml + 50ml = 300ml of juice which means that the apple juice is no longer a pure apple juice because for every 30ml, you have 25ml apple and 5ml orange
(5 : 1). The new 50ml that will be taken from the white glass contains 41.67 apple juice and 8.33 orange juice. Therefore, the new volume of juice in the orange glass is 300ml with 41.67 apple juice and 258.33 orange juice. This means that the amount of orange juice in the white glass is more than the amount of apple juice in orange glass by 8.33ml.
NOTE: The answer may vary depending on the initial value used.
| Is This Answer Correct ? | 0 Yes | 1 No |
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