To determine the original value where 14% of it equals £91, follow these steps:
1. Understand the Problem: We need to find the unknown original value, let's call it [tex]\( x \)[/tex], such that 14% of [tex]\( x \)[/tex] is equal to £91.
2. Set Up the Equation: Express the problem as an equation:
[tex]\[
0.14x = 91
\][/tex]
Here, 0.14 represents 14%.
3. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], divide both sides of the equation by 0.14:
[tex]\[
x = \frac{91}{0.14}
\][/tex]
4. Calculate [tex]\( x \)[/tex]: Performing the division gives:
[tex]\[
x \approx 649.9999999999999
\][/tex]
5. Interpret the Result: Therefore, the original value is approximately £650 (to a reasonable approximation since dealing with currency).
So the original value, when 14% of it is £91, is approximately £650.
