1.

A diamond of weight 150 grams is cut into three pieces. The weight of the first piece and the second piece are in a ratio of 8 : 5. The weight of the third piece is 20 grams. Find the weight of the first piece.1. 80 grams2. 90 grams3. 100 grams4. 85 grams5. 95 grams

Answer» Correct Answer - Option 1 : 80 grams

Given:

Weight of diamond = 150 grams

The ratio of the weight of two pieces = 8 : 5

Weight of the third piece = 20 grams

Concept used:

Total weight = Weight of first piece + Weight of second piece + Weight of third piece

Calculation:

Let the weight of the first piece be 8x

Let the weight of the second piece be 5x

150 = 8x + 5x + 20

⇒ 13x = 130

⇒ x = 10

Weight of the first piece = 8 × 10 = 80

The weight of the first piece is 80 grams.



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