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A petrol tanker contains 3 times as much as another. when 1000litres of petrol are allowed to run from the first tank into the second tank; the first contains 2 times as much as the second. what were the original contents of the tanks?​

Respuesta :

The content of the first tank is three times the second tank, and 1,000 L

less the first tank is twice the second indicating 9,000 L and 3,000 L

Responses:

  • The content of the first tank is 9,000 L
  • The content of the first tank is 3,000 L

Which method can be used to find the content of the tanks?

The fuel content in one tank  = 3 × The content of the second tank

The content of the first tank - 1000 = 2 × (initial content of second tank + 1000)

Let  A represent the content of the first tank, and let B represent the

content of the second tank, we can write the following equations;

A = 3·B

A - 1000 = 2 × (B + 1000)

Which gives;

3·B - 1000 = 2 × (B + 1000)

3·B  = 2 × (B + 1000) + 1000 = 2·B + 2000 + 1000 = 2·B + 3000

3·B - 2·B = 3000

B = 3000

A = 3 × B

A = 3 × 3000 = 9000

  • The content of the first tank, A = 9,000 L
  • The content of the first tank, B = 3,000 L

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