Answer: 28
Explanation:
To find the number, we need to use the fact that 4/7 of a number is 84 to set up an equation that we can solve. Since 4/7 of a number is 84, we can write the following equation:
(4/7) * x = 84
To solve this equation, we need to first get rid of the fraction by multiplying both sides of the equation by 7/4:
(4/7) * x * (7/4) = 84 * (7/4)
This gives us the equation:
(4/7) * (7/4) * x = 84 * (7/4)
Since (4/7) * (7/4) = 1, we can simplify the equation as follows:
1 * x = 84 * (7/4)
We can then simplify the right side of the equation by multiplying the numerator and denominator of the fraction by 4:
1 * x = 84 * (7/4) = 84 * (28/28) = 28
Finally, we can solve for x by dividing both sides of the equation by 1:
1 * x / 1 = 28 / 1
This gives us the final equation:
x = 28
Therefore, the number is 28.