Ali,Musa and yusif shared 420,000.00 nira. in the ratio 3:5:8 respectively.find the sum of Ali and Musa
Ali : Musa : yusif = 3x : 5x : 8x
3x + 5x + 8x = 420000.00
16x = 420000
x = 26250
sub into 3x, 5x, and 8x, to find the share of each
Clearly, since 3+5 = 8, Ali & Musa get 1/2 of the money
To find the sum of Ali and Musa, we need to determine the total amount shared by Ali and Musa in the given ratio.
First, let's find the total value of the ratio parts:
3 + 5 = 8
Next, we will divide the total amount shared by the sum of the ratio parts to find the value of each ratio part:
420,000.00 / 8 = 52,500.00
Now, to find the sum of Ali and Musa, we add the values of their respective ratio parts:
Ali's share = 3 * 52,500.00 = 157,500.00 nira
Musa's share = 5 * 52,500.00 = 262,500.00 nira
Finally, we add Ali's and Musa's shares to calculate the sum:
157,500.00 + 262,500.00 = 420,000.00 nira
Therefore, the sum of Ali and Musa is 420,000.00 nira.
To find the sum of Ali and Musa's share, we need to first calculate the total ratio which is the combined ratio of Ali and Musa.
The combined ratio of Ali and Musa is 3 + 5 = 8.
Next, we can determine the fraction of the total amount that Ali and Musa receive together. Since the ratio of Ali and Musa is 3:5, we can find the fraction of the total amount they receive together by dividing Ali's ratio by the combined ratio and then multiplying it by the total amount.
Ali's share = (3/8) * 420,000.00 nira = 157,500.00 nira
Similarly, we can find the fraction of the total amount that Musa receives by dividing Musa's ratio by the combined ratio and multiplying it by the total amount.
Musa's share = (5/8) * 420,000.00 nira = 262,500.00 nira
Finally, we can find the sum of Ali and Musa's share by adding their individual shares together.
Sum of Ali and Musa's share = Ali's share + Musa's share = 157,500.00 nira + 262,500.00 nira = 420,000.00 nira.
Therefore, the sum of Ali and Musa's share is 420,000.00 nira.