The problem in the image states the following:

• In Jar A, there are 10 liters of milk and 6 liters of water.
• In Jar B, there is 65 liters of a milk and water solution, where the ratio of milk to water is $10 : x$.
• Jars A and B are emptied into Jar C, which has a total of 9 liters of water.
• Jar C now has 75% milk.

We are tasked with finding the value of $x$ (the ratio in Jar B).

Let's break this down:

1. Jar A:

   • Milk: 10 liters
   • Water: 6 liters

2. Jar B:

   • Total solution: 65 liters
   • Ratio of milk to water is $10 : x$
   • So, the amount of milk in Jar B is $\frac{10}{10+x} \times 65$ liters.
   • The amount of water in Jar B is $\frac{x}{10+x} \times 65$ liters.

3. Jar C (after combining Jars A and B):

   • Water: 9 liters already + water from Jar A + water from Jar B
   • Milk will be 75% of the total volume of Jar C.

Step 1: Total Milk in Jar C

From Jar A: 10 liters of milk
From Jar B: Milk from Jar B is $\frac{10}{10+x} \times 65$.

Total milk in Jar C = $10 + \frac{10}{10+x} \times 65$.

Step 2: Total Water in Jar C

Water from Jar A: 6 liters
Water from Jar B: $\frac{x}{10+x} \times 65$ liters
Water already in Jar C: 9 liters

Total water in Jar C = $6 + \frac{x}{10+x} \times 65 + 9$.

Step 3: Total Volume in Jar C

The total volume in Jar C (milk + water) is: $\text{Total volume} = \text{Total milk} + \text{Total water}.$ This simplifies to: $10 + \frac{10}{10+x} \times 65 + 6 + \frac{x}{10+x} \times 65 + 9.$

Step 4: Applying the Milk Percentage

It is given that Jar C has 75% milk, so the fraction of milk is: $\frac{\text{Total milk}}{\text{Total volume}} = 0.75.$

Substituting the expressions for total milk and total volume into this equation gives a solvable equation in terms of $x$. Solving this will yield the value of $x$.

Let me calculate the exact value for you.

Step 5: Solving the Equation

The milk-to-total ratio is $0.75$, and setting up the equation will give:

$\frac{10 + \frac{10}{10+x} \times 65}{10 + \frac{10}{10+x} \times 65 + 6 + \frac{x}{10+x} \times 65 + 9} = 0.75.$

Multiplying through and solving this equation will give the value of $x$.

I'll calculate this for you now:

$\frac{10 + \frac{650}{10+x}}{25 + 65} = 0.75$

This simplifies into finding $x$.