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

1 answer

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:

\[ 56 + 2x = 68 \]

  1. Subtract 56 from both sides:

\[ 2x = 12 \]

  1. 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.