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Two containers of equal capacity are full of a mixture of oil and wat [#permalink]

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17 May 2011, 11:27

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Two containers of equal capacity are full of a mixture of oil and water . In the first, the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water.

a. 149 : 247 b. 247 : 149 c. 143 : 241 d. 241 : 143

Re: Two containers of equal capacity are full of a mixture of oil and wat [#permalink]

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10 Apr 2015, 14:26

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Re: Two containers of equal capacity are full of a mixture of oil and wat [#permalink]

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15 May 2016, 07:30

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Re: Two containers of equal capacity are full of a mixture of oil and wat [#permalink]

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20 May 2017, 05:57

ramkryp wrote:

Two containers of equal capacity are full of a mixture of oil and water . In the first, the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water.

a. 149 : 247 b. 247 : 149 c. 143 : 241 d. 241 : 143

Can this question be done through allegation? thanks

Two containers of equal capacity are full of a mixture of oil and wat [#permalink]

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01 Jun 2017, 09:27

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OreoShake wrote:

ramkryp wrote:

Two containers of equal capacity are full of a mixture of oil and water . In the first, the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water.

a. 149 : 247 b. 247 : 149 c. 143 : 241 d. 241 : 143

Can this question be done through allegation? thanks

when i read: "Two containers of equal capacity"... then: first container 4:7 so capacity 4+7 = 11 second container 7:11 so capacity 7+11 = 18

to create an equal capacity that would be easier to work with: 11*18 = 198 in each container

looking at the results i need the capacity of the two containers, so: 198*2 = 396

answer a fits perfect: a. 149 : 247 -- 149+247 = 396

Two containers of equal capacity are full of a mixture of oil and water . In the first, the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water.

a. 149 : 247 b. 247 : 149 c. 143 : 241 d. 241 : 143

This is not an Official Guide question and cannot be. It has 4 options instead of 5. Tag removed.
_________________

Re: Two containers of equal capacity are full of a mixture of oil and wat [#permalink]

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01 Sep 2017, 23:51

I solved this question in a slightly different but much easier way.

I plugged in a value for the amount of each mixture added, which happens to be equal since the same amount is added. To choose a good number I converted the Oil:Water ratio to a Oil:Solution ratio, by merely adding the numerator to the denominator, since the solution = Oil + Water.

Therefore, the two Oil:Solution ratios are = 4:11, and 7:18 respectively. Then I picked a number which is divisible both by 11 and 18 = 11 x 18 = 198. (This gives us an easy answer for the Oil in each mixture)

Therefore The amount of Oil in Mixture 1 = 4 x 198 / 11 = 4 x 18 = 72. The amount of Oil in Mixture 2 = 7 x 198 / 18 = 7 x 11 = 77. Total of Oil in the Final Mixture = 77 + 72 = 149

Total Volume of Final Mixture = 198 + 198 = 396. Total Water in the Final Mixture = 396 - 149 = 247

Therefore, Answer = Total water / Total oil = 149/247 Answer = A