54% as a simplified fraction
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If a number is 40% more than another number, we can say that the new number is equivalent to the sum of the old number and 40% of the old number. Let's try to represent this as an equation. First, let's convert the percentage to a fraction:
Defining as the new number and
as the old number, we can say:
Also, we can say:
To solve, let's substitute the first equation into the second equation for and simplify.
- Substitute
- Get terms over common denominator
- Simplify
- Multiply both sides by 5
We now have found the old number. Using the second equation we found near the beginning, let's find .
The numbers are 35 and 49.