Question

You have a mixture of 100 liters of water and milk which contains 25% milk
Let the amount of milk that should be added to the mixture so that the percentage of milk in the new mixture is 30% be XYZ
liters when rounded off to two decimal places.
What is the value of X + Y?
Max. score: 4.00
8
11​

Answer 1

Answer:

1. 25/100multiplied by 100
2. 100 and 100 gets cancelled
3. then 25 is the answer

Answer 2

Given,

Initial volume of the mixture = 100 litres

Milk percentage = 25%

Milk percentage in final mixture = 30%

Milk amount in final mixture = XYZ litres

To find,

Value of X+Y

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Milk amount in initial mixture = 100 × 25/100 = 25 litres

Water amount in initial mixture = (100-25) = 75 litres

Let, x litres milk will be added.

Milk amount in final mixture = (25+x) litres

Total final mixture amount = (75+25+x) = (100+x) litres

Milk percentage in final mixture = 100 × (25+x)/(100+x) litres

According to the data mentioned in the question

100×(25+x)/(100+x) = 30

(2500+100x) = (3000+30x)

100x-30x = 3000-2500

70x = 500

7x = 50

x = 7.14

So, the value of XYZ will be 7.14

Here, XYZ are three consecutive digits of the final answer.

X = 7 , Y = 1 , Z = 4

And, value of X+Y will be = (7+1) = 8

Hence, the value of (X+Y) will be 8