Question

There are 2 crates in a warehouse. Crate A has 56kg if books while crate B has 68kg of book. How many kg of books should be taken out of
crate B and put into crate A so that they weigh the same

Answer 1

To find out how many kilograms of books should be transferred from crate B to crate A so that both crates weigh the same, we can set up the following equation:

Let \( x \) be the amount of books (in kg) to be taken out of crate B and put into crate A.

After transferring \( x \) kg from crate B to crate A:

- Weight of crate A: \( 56 + x \) kg
- Weight of crate B: \( 68 - x \) kg

We want these weights to be equal:

\[
56 + x = 68 - x
\]

Now, we can solve for \( x \):

1. Add \( x \) to both sides:

\[
56 + 2x = 68
\]

2. Subtract 56 from both sides:

\[
2x = 12
\]

3. Divide both sides by 2:

\[
x = 6
\]

Thus, you should take out **6 kg** of books from crate B and put them into crate A in order for both crates to weigh the same.

After the transfer, both crates will weigh:

- Crate A: \( 56 + 6 = 62 \) kg
- Crate B: \( 68 - 6 = 62 \) kg

So both crates will weigh 62 kg.