Question

The diagram represents a pan balance each of the blocks marked x has the same value. The small blocks have a value of 1. What is the value of x if each side of the balance is the same

Answer 1

1

Explanation:

Blocks that have the same distance to the center cancel each other out.

The 4 rightmost and the 4 leftmost blocks cancel each other out.

In order to balance the remaining 4 1-blocks on the left side, the remaining right blocks must have the value 1.

Answer 2

The correct option is B) 2.

Explanation:

Consider the provided diagram.

There are 4 x blocks on the left side and 6 x blocks on the right side.

Also there are 4 small blocks have a value of 1.

Both the sides are balanced that means 4 x blocks + 4 small blocks equals to 6 x blocks.

4x + 4 = 6x

Subtract 4x from both the side.

4x + 4 - 4x = 6x - 4x

4 = 2x

Divide both the side by 2.

2 = x

Thus, the value of x is 2.

Hence, the correct option is B) 2.