Mo’s tyre pressure gauge shows a reading which is 12% higher than the actual pressure. What is the actual pressure when Mo’s gauge shows 38.64?

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Answer:

34.5

Step-by-step explanation:

Given that :

112% = 38.64.

We need to calculate 100%

DO this by finding 1% then multiply that by 100.

112% = 38.64

1% = 38.64/112 =  0.345

100% = 34.5

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Using proportions, it is found that the actual pressure is of 34.5.

  • This question is solved by proportions, using a rule of three.
  • The tyre pressure shown on the gauge, of 38.64, is 12% higher than the actual pressure, that is, it is 112% = 1.12 of the actual pressure. How much is the actual pressure x, which is 100% = 1?

The rule of three is:

38.64 - 1.12

x - 1

Applying cross multiplication:

[tex]1.12x = 38.64[/tex]

[tex]x = \frac{38.64}{1.12}[/tex]

[tex]x = 34.5[/tex]

The actual pressure is of 34.5.

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