Question

A jar contains a blend of a fruit
juice and water in the ratio 5:
x. When 1 litre of water is added
to 4 litres of the blend the ratio
of fruit juice to water becomes
1:1. What is the value of x?​

Answer 1

Answer:

When x=1

4+1=5 then 5/5 = 1 therefore

1/1

. The value of x will 1:1

Answer 2

The value of x would be 3

Step-by-step explanation:

Given,

The original ratio of juice and water = 5 : x,

Let juice = 5a, water = ax

Where,

a = positive real number,

Total quantity of blend = 5a + ax = a(5+x),

If total quantity of blend = 4 L,

$a(5+x) = 4$

$a=\frac{4}{5+x}$

Thus, the original amount of juice = $\frac{20}{5+x}$

Original amount of water = $\frac{4x}{5+x}$

According to the question,

$\frac{\frac{20}{5+x}}{\frac{4x}{5+x}+1}=\frac{1}{1}$

$\frac{\frac{20}{5+x}}{\frac{4x+5+x}{5+x}}=1$

  $\frac{20}{5x+5}=1$

     $20=5x+5$

$20-5=5x$

     $15=5x$

      $3=x$

Hence, the value of x is 3.

#Learn more :

A jar contains a mixture of milk and water in the ratio of 3:1. Now, 1/25 of the mixture is taken out and 24 liters water is added to it. If the resultant ratio of milk to water in the jar was 2:1, what was the initial quantity of mixture in the jar? (in liters)

https://brainly.in/question/5687812