A whole brick is balanced with 3/4 pound and 3/4 brick. what is the weight of the whole brick?
The 3/4 pound weight is 1/4 of the weight of the brick.
To find the weight of the whole brick, we can set up an equation based on the given information.
Let's assume that the weight of the whole brick is represented by "W". We know that the weight of 3/4 pound and 3/4 of the brick together can balance the whole brick. Therefore, we can write the equation as:
3/4 pound + 3/4 of the brick = W
Since we want to find the weight of the whole brick, we need to isolate W on one side of the equation. To do this, we can subtract 3/4 pound from both sides of the equation:
3/4 pound - 3/4 pound + 3/4 of the brick = W - 3/4 pound
Simplifying the equation gives us:
3/4 of the brick = W - 3/4 pound
Next, we can convert 3/4 pound to a fraction that has the same denominator as 3/4 of the brick. Since 3/4 is the same as 6/8, the equation becomes:
3/4 of the brick = W - 6/8
Now, we want to eliminate the fraction. We can multiply both sides of the equation by 8 to clear the denominator:
8 * (3/4 of the brick) = 8 * (W - 6/8)
Which simplifies to:
6 of the brick = 8W - 6
Next, we can distribute the 8 to both terms on the right side of the equation:
6 of the brick = 8W - 6
Multiplying both terms by 6 to eliminate the fraction gives us:
6 * (6 of the brick) = 6 * (8W - 6)
Which simplifies to:
36 of the brick = 48W - 36
Now, we can add 36 to both sides of the equation:
36 + 36 of the brick = 48W - 36 + 36
Simplifying further gives us:
36 + 36 of the brick = 48W
Finally, we divide both sides of the equation by 48 to solve for W:
(36 + 36 of the brick) / 48 = W
Once you know the value of "of the brick", you can substitute it into the equation to find the weight of the whole brick.