container A has twice the capicity of container B. container A is full of sand and container B is empty. suppose 1/8 of the sand in container A is poured into container B. what fractional part of container B will conatin sand.........please halpme i am confused

Question

container A has twice the capicity of container B. container A is full of sand and container B is empty. suppose 1/8 of the sand in container A is poured into container B. what fractional part of container B will conatin sand.........please halpme i am confused

Answer 1

let capacity of container B be x units

let capacity of container A be 2x units

(1/8)(2x from A is moved B
amount now in B is x/4

so the fraction of B containing sand = (x/4)/x = 1/4

Answer 2

To determine the fractional part of container B that will contain sand after pouring 1/8 of the sand from container A, we can follow these steps:

Step 1: Understand the given information:
- Container A has twice the capacity of container B.
- Container A is full of sand.
- Container B is currently empty.
- 1/8 of the sand in container A will be poured into container B.

Step 2: Determine the relation between the capacities of the two containers:
Since container A has twice the capacity of container B, we can represent their capacities as follows:
- Capacity of container A = 2x
- Capacity of container B = x

Step 3: Calculate the amount of sand poured from container A to container B:
Since 1/8 of the sand from container A is poured into container B, we need to find 1/8 of the total capacity of container A.
- Amount of sand poured from container A = (1/8) * (Capacity of container A)
- Amount of sand poured from container A = (1/8) * (2x) = x/4

Step 4: Determine the fractional part of container B that will contain sand:
The amount of sand poured from container A into container B is x/4. Since the capacity of container B is x, we can determine the fractional part of container B that will contain sand by dividing the amount of sand poured by the capacity of container B.
- Fractional part of container B containing sand = (Amount of sand poured) / (Capacity of container B)
- Fractional part of container B containing sand = (x/4) / (x) = 1/4

So, after pouring 1/8 of the sand from container A to container B, container B will contain 1/4 (or 1 out of 4 equal parts) of its total capacity filled with sand.