Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.

Analyze the question: An amount of D 10,500 is shared among three boys in the ratio 6:7:8. We need the largest share, which belongs to the boy with ratio 8.

Concept: To share an amount in a ratio, add the ratio parts to get the total number of parts. Then each share = (part ÷ total parts) × total amount.

Solution:

Total parts = 6 + 7 + 8 = 21

Value of one part = 10,500 ÷ 21 = 500

Shares:

• 6 parts = 6 × 500 = 3,000
• 7 parts = 7 × 500 = 3,500
• 8 parts = 8 × 500 = 4,000

Check: 3,000 + 3,500 + 4,000 = 10,500 ✓

The largest share is 8 × 500 = D 4,000.

Tip: In ratio-sharing questions, first find the value of one part (total ÷ sum of ratio). Then multiply by each ratio number. Always add the shares at the end to confirm they equal the original amount. Here, 10,500 ÷ 21 divides neatly, which is a good sign you are on track.