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What is the original value if 16% of it is £88?

Sagot :

To determine the original value when you know that 16% of it is £88, you can follow these steps:

1. Understand the relationship given in the problem: The problem states that 16% of some original value equals £88. Mathematically, this can be written as:
[tex]\[ 0.16 \times \text{original value} = 88 \][/tex]

2. Set up the equation: Let [tex]\( x \)[/tex] represent the original value. Then the equation becomes:
[tex]\[ 0.16x = 88 \][/tex]

3. Isolate the original value ([tex]\( x \)[/tex]): To find [tex]\( x \)[/tex], you need to divide both sides of the equation by 0.16:
[tex]\[ x = \frac{88}{0.16} \][/tex]

4. Perform the division: Calculate [tex]\( \frac{88}{0.16} \)[/tex]:
[tex]\[ x = 550 \][/tex]

5. Conclude the solution: The original value is:
[tex]\[ x = 550 \][/tex]

Therefore, the original value is £550.