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Work out the original value if [tex]$18\%$[/tex] of it is £81.

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GinnyAnswer
To find the original value when 18% of it equals £81, we need to follow these steps:

1. Understand the relationship: We know that 18% of the original value gives us £81. Mathematically, this can be written as:
[tex]\[ 0.18 \times \text{Original Value} = 81 \][/tex]

2. Set up the equation: To find the original value, we’ll represent it as [tex]\( x \)[/tex]. So the equation becomes:
[tex]\[ 0.18x = 81 \][/tex]

3. Isolate the variable: To solve for [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We can do this by dividing both sides by 0.18:
[tex]\[ x = \frac{81}{0.18} \][/tex]

4. Divide to find [tex]\( x \)[/tex]:
[tex]\[ x = 450 \][/tex]

Therefore, the original value is [tex]\( £450 \)[/tex].
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