Mrs. Bala made a big container of berry juice. She gave away 1150 ml of it to her neighbour, and her family drank 60% of the remaining juice. She then had 24% of juice left. How much berry juice did she make at first?

Sure, let's solve this step by step:

1. First, we know that Mrs. Bala gave away 1150 ml of juice and then her family drank 60% of the remaining juice. This means that the remaining juice is 40% of the original amount after she gave away some to her neighbour.

2. We also know that this remaining juice is 24% of the total juice she made at first.

Sure, let's solve this step by step:

1. First, we know that Mrs. Bala gave away 1150 ml of juice and her family drank 60% of the remaining juice. This means that 40% of the juice was left after her family drank it.

2. We also know that this 40% is equal to 24% of the total amount of juice she made at first.

3. We can set up the equation: 0.40X = 0.24T, where X is the amount of juice after Mrs. Bala gave some to her neighbour, and T is the total amount of juice she made at first.

4. We can express X in terms of T: X = T - 1150.

5. Substituting X in the equation, we get: 0.40(T - 1150) = 0.24T.

6. Solving this equation for T, we get: T = 1150 / (0.40 - 0.24) = 7187.5 ml.

So, Mrs. Bala made 7187.5 ml of berry juice at first.

Sure, let's solve this step by step:

1. First, we know that Mrs. Bala gave away 1150 ml of juice and her family drank 60% of the remaining juice. This left her with 24% of the original amount of juice.

2. Let's denote the original amount of juice as X ml.

3. After giving away 1150 ml, Mrs. Bala had X - 1150 ml of juice left.

4. Her family then drank 60% of this remaining juice, leaving her with 40% of X - 1150 ml. This can be represented as 0.4 * (X - 1150) ml.

5. According to the problem, this amount is also equal to 24% of the original amount of juice, or 0.24X ml.

6. Therefore, we can set up the following equation to solve for X:

0.4 * (X - 1150) = 0.24X

7. If we distribute the 0.4 on the left side of the equation, we get:

0.4X - 460 = 0.24X

8. If we subtract 0.24X from both sides, we get:

0.16X = 460

9. Finally, if we divide both sides by 0.16, we get:

X = 460 / 0.16 = 2875 ml

So, Mrs. Bala originally made 2875 ml of berry juice.

Let's solve this step by step:

1. First, we need to find out how much juice was left after Mrs. Bala gave away 1150 ml to her neighbour. Since her family drank 60% of the remaining juice, it means that 40% was left. So, we can say that 24% of the total juice equals to this 40% of the remaining juice.

2. To find out the total amount of juice, we can set up the equation: 0.24T = 1.4R, where T is the total amount of juice and R is the remaining juice after 1150 ml was given away.

3. We can rearrange the equation to find R: R = 0.24T / 1.4

4. We know that R = T - 1150, so we can substitute this into the equation: 0.24T / 1.4 = T - 1150

5. Solving this equation will give us the total amount of juice Mrs. Bala made at first.