Question

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.

• A. 80 grams
• B. 90 grams
• C. 100 grams
• D. 85 grams

Answer 1

Answer:

A. 80 grams

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