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TheNightKing
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In 120 lit mixture of milk and water
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31 Oct 2019, 17:06
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45% (medium)

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75% (02:38) correct 25% (03:09) wrong based on 264 sessions

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In 120 lit mixture of milk and water, milk is 88 lit more than water. When ‘a’ lit of milk is taken out and (a+15) lit of water is added, ratio of milk to water in the mixture becomes 3:2. Find value of ‘a’?
(a) 23
(b) 14
(c) 21
(d) 28
(e) 16
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chetan2u
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In 120 lit mixture of milk and water
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31 Oct 2019, 17:53
TheNightKing
In 120 lit mixture of milk and water, milk is 88 lit more than water. When ‘a’ lit of milk is taken out and (a+15) lit of water is added, ratio of milk to water in the mixture becomes 3:2. Find value of ‘a’?
(a) 23
(b) 14
(c) 21
(d) 28
(e) 16
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M:W = W:W+88....W+W+88=120....W=16

The new ratio = 104-a:16+a+15=3:2..............(16+a+15)*(3)=(104-a)(2).......93+3a=208-2a.......5a=115.....a=23


A

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davedekoos
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In 120 lit mixture of milk and water
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31 Oct 2019, 18:17
TheNightKing
In 120 lit mixture of milk and water, milk is 88 lit more than water. When ‘a’ lit of milk is taken out and (a+15) lit of water is added, ratio of milk to water in the mixture becomes 3:2. Find value of ‘a’?
(a) 23
(b) 14
(c) 21
(d) 28
(e) 16
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Another way to think about this situation is since the total mixture is 120 L, and we know there is 88 L MORE milk than water, then the remaining 32 L (120 - 88), must be split evenly between milk and water (16 L of water, and an additional 16 L of milk. Thus we know that there are 104 L of milk and 16 L of water in the mixture. Now, we are altering the mixture to get a new ratio of milk to water. We are removing 'a' litres of milk and replacing that with 15 + 'a' litres of water. This means that the total volume of the mixture has increased by 15 L to 135 L. Our new ratio of milk to water is also now 3:2, which means of the 135 L of the new mixture, 3/5 are milk, and 2/5 are water. 3/5 of 135 is 81, so 'a' = 104 - 81 = 23. Alternatively, we could use water which is now 2/5 of 135 L, or 54 L. Thus, 54 = 16 + 15 + 'a', and 'a' = 54-31 = 23.

Answer is A

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btsaami
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In 120 lit mixture of milk and water
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30 Nov 2024, 04:30
Water is 16 ltrs and milk is 104 ltrs. --> 2w+88=120 w=16 m= 104

Based on the options, we can form equation like 16+a+15= 2x from this we know that a has to be odd. Therefore, options 23 or 21 can only be the answer.

Next,
104-a= 3x
a=23 is correct
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