What is x when 67 divided by x equals 100?
In other words, what would the divisor be if the dividend were 67 and the quotient 100?
To find the answer, just divide the dividend by the quotient: 67 ÷ 100 = 0.67
To prove this, let's compute 67 divided by 0.67:
How does it work?
Asking what the value of x could be when 67 divided by x gives a result of 100, 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 100:
- Which gives, after simplification: (or )
So, if the dividend is 67 and the quotient is 100, the divisor is 0.67.