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
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Explanation:
Answer: a. 149:247
Quantity of oil in first container = 4/11
Quantity of oil in second container = 7/18
Quantity of oil when mixed = 4/11 + 7/18 = 149/198
Quantity of water in first container = 7/11
Quantity of water in second container = 11/18
Quantity of water when mixed = 247/198
Resulting ratio of oil to water = 149/198 : 247/198 = 149:247.
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