Verified answer

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A pole is 10 m long. It is painted white and black in the ratio 3:7. What length of the pole is painted black?

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• The length of the pole in painted black is 7m.

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Step 1 : Formulate

Based on the given conditions, formulate.

• 7 × 10 ÷ (7 + 3)

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Step 2 : Calculate

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• So The Correct Answer is 7m

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Verified answer

A pole is 10 m long. It is painted white and black in the ratio 3:7. What length of the pole is painted black?

Let x be the constant of the variation

Painted in white = 3x

Painted in black = 7x

Equation will be

• 3x + 7x = 10
• 10x = 10
• x = 10/10
• x = 1

Now , substitutute the constant x to the Paints

Painted in white = 3x = 3(1) = 3 meters

Painted in black = 7x = 7(1) = 7 meters

• The length painted in black is 7 meters