The king's ship sank with 8 gold bars aboard. The king paid Captain Nemo 4/5 of one bar for finding the gold. The captain gave 1/2 of his gold to charity. What fraction of a bar went to charity?
Accepted Solution
A:
Answer:The fraction is 2/5 of one gold bar.Step-by-step explanation:The king's ship sank with 8 gold bars aboard. Captain Nemo helped the King to find them and the king paid Captain Nemo 4/5 of one bar for finding the gold.Let one gold bar be g.This means the king paid Captain Memo 4/5 × g = 4g/5The captain gave 1/2 of his gold to charity. This means that Captain Memo gave 1/2 of his 4g/5 gold bar to charity.This amount that Captain Memo gave for charity would be 1/2 × 4g/5 = 4g / 10 = 2g/5The fraction of a bar that went for charity would be This amount that Captain Memo gave for charity would be /one gold bar. It becomes2g/5 ÷ g = 2g/5 × 1/gThe g cancels out. Therefore,The fraction is 2/5 of one gold bar.