A whole brick is balanced with 3/4 pound and 3/4 brick. What is the weight of the whole brick ? Use a visual solution process

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Exactly what does "balanced" mean? if you mean equal mass, then

B=1lb+.75B
which immediatley means that 1/4 brick is one lb.

To solve this problem visually, we can set up a balance scale and use the concept of equality to find the weight of the whole brick.

Let's assume the whole brick weighs "W" pounds.

On one side of the scale, we have a weight of 3/4 pound. On the other side, we have 3/4 of the whole brick's weight.

Setting up the equation using the concept of equality, we have:

3/4 pound = 3/4 * W pounds

To solve for W, we can multiply both sides of the equation by 4/3 to eliminate the fraction:

(3/4 pound) * (4/3) = (3/4 * W pounds) * (4/3)

Simplifying:

3 pounds = W

Therefore, the weight of the whole brick is 3 pounds.