What is x when 78 divided by x equals 33?
In other words, what would the divisor be if the dividend were 78 and the quotient 33?
To find the answer, just divide the dividend by the quotient: 78 ÷ 33 = 2.3636363636364
To prove this, let's compute 78 divided by 2.3636363636364:
How does it work?
Asking what the value of x could be when 78 divided by x gives a result of 33, is equivalent to solving the following equation:
- Multiply both sides by x:
- is equivalent to , which simplifies to (or just ).
- Thus, the equation becomes:
- To find x, divide both sides by 33:
- Which gives, after simplification: (or )
So, if the dividend is 78 and the quotient is 33, the divisor is 2.3636363636364.