Question

There are 3 jars. The ratio of spirit to water in each of these jars is 3:2,4:5,5:7. The three jars are mixed into a single jar. What is the ration of spirit to water in single jar.

Answer 1

Answer: Ratio of spirit to water in single jar becomes 263:277

Explanation:

Since we have given that

the ratio of spirit to water in 3 jars are

3:2

4:5

5:7 respectively.

If the three jars are mixed into a single jar,

The ratio of spirit to water becomes

$\frac{3}{5}+\frac{4}{9}+\frac{5}{12}:\frac{2}{5}+\frac{5}{9}+\frac{7}{12}\\\\\frac{108+80+75}{18}:\frac{72+100+105}{180}\\\\\frac{263}{180}:\frac{277}{180}\\\\263:277$

Hence, Ratio of spirit to water in single jar becomes

263:277.