Question

kavya mixed four equal quantities of mixture containing milk and water in the ratio of 17:3, 13:7, 9:1, and 11:9 respectively, what would be the ratio of water and milk in the resulting ratio?​
a) 19:57
b) 59:21
c) 57:19
d) 57:21
e) 21:59

Answer 1

The correct answer is option (b) 59:21

GIVEN

kavya mixed four equal quantities of mixture containing milk and water in the ratio of 17:3, 13:7, 9:1, and 11:9 respectively.

TO FIND

The ratio of water and milk in the resulting ratio.

SOLUTION

We can simply solve the above problem as follows;

Ratio of milk an water = 17:3, 13:7, 9:1, and 11:9

Proportion of milk in 4 mixtures = 17/20 , 13/20 , 9/10 and 11/20

Similarly,

Proportion of water in 4 mixtures = 3/20, 7/20, 1/10, 9/20

Total proportion of milk =

$\frac{17}{20} + \frac{13}{20} + \frac{9}{10} + \frac{11}{20}$

$= \frac{17 + 13 + 18 + 11}{20}$

$= \frac{59}{20}$

Proportion of water =

$\frac{3}{20} + \frac{7}{20} + \frac{1}{10} + \frac{9}{20}$

$= \frac{3 + 7 + 2 + 9}{20}$

$= \frac{21}{20}$

Ratio of milk and water in new mixture = 59/21 = 59:21

Hence, The correct answer is option (b) 59:21

#Spj2

Answer 2

Answer:

The answer to the given question is 59:21.

Therefore, option b is the correct answer.

Step-by-step explanation:

Given :

kavya mixed four equal quantities of a mixture containing milk and water in the ratio of 17:3, 13:7, 9:1, and 11:9 respectively.

To find :

The ratio of water and milk in the resulting ratio?

Solution :

The ratio of milk and water is

17:3,13:7,9:1,11:9

The proportion of milk in the mixture is found to be

$\frac{17}{20} \: \frac{13}{20} \: \frac{9}{10} \: \frac{11}{20}$

The ratio of water in the mixture is found to be

$\frac{3}{20} \frac{7}{20} \frac{1}{10} \frac{9}{20}$

The total proportion of milk and water is found by adding all the proportions.

Total proportion value of milk

$\frac{17}{20} + \frac{13}{20} + \frac{9}{10} + \frac{11}{20}$

on taking LCM and adding the above values

$\frac{17 + 13 + 18 + 11}{20} \\ \frac{59}{20}$

The total proportion value of water is

$\frac{3}{20} + \frac{7}{20} + \frac{1}{10} + \frac{9}{20}$

on taking LCM, then on adding we get the values as

$\frac{3 + 7 + 2 + 9}{20} = \frac{21}{20}$

In the resulting ratio, the ratio of milk and water is obtained as

$\frac{59}{21}$

The final answer will be 59:21.

Therefore, opt b is the correct answer.

# spj5

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