Well, isn't that a happy little math problem! To find the difference between the largest and smallest share, first add up the parts of the ratio: 5 + 2 + 1 = 8 parts total. Then, divide the total cash amount by 8 to find the value of each part. Finally, multiply the value of the smallest share by 5 (the ratio of the largest share) and subtract the value of the smallest share to find the difference. Happy calculating!
To find the shares of the three brothers, we first add the ratio parts (5 + 2 + 1) to get 8 total parts. The largest share would be 5/8 of the total amount, which is $75,000 (5/8 * $120,000). The smallest share would be 1/8 of the total amount, which is $15,000 (1/8 * $120,000). The difference between the largest and smallest share is $75,000 - $15,000 = $60,000.