Kofi,Kwame and Yaw shared $180000 in the ratio 3:2:1 respectively. Find the difference between the greatest and the least shares. Show working

3 x + 2 x + x = 180,000

6 x = 180,000
x = 30,000
3 x = 90,000
3x - x = 2x = 60,000

Did you know?

Did you know that when dividing a sum of money among people in a given ratio, it is important to calculate the difference between the largest and smallest shares? In the scenario where Kofi, Kwame, and Yaw shared $180,000 in the ratio 3:2:1 respectively, we can easily determine this difference by following some simple steps. First, we add the ratio values together (3 + 2 + 1 = 6). Next, we divide the total sum ($180,000) by this combined ratio value (180,000/6 = 30,000). Now, multiplying this result by each individual ratio value will provide us with the respective shares: Kofi's share is 3 x 30,000 = $90,000, Kwame's share is 2 x 30,000 = $60,000, and Yaw's share is 1 x 30,000 = $30,000. By subtracting Yaw's share from Kofi's share, we can find the difference between the greatest and least shares, which in this case would be $90,000 - $30,000 = $60,000.