John, Amos and Peter shared the sum of #126 in the proportiom 1: 2: 4, find the sum of money each received.
1+2+4=7, so if we divide the sum into 7 equal parts of size x,
7x = 126
x = 18
So, the shares are 18,36,72
To find the sum of money each person received, we'll use the concept of ratios.
Step 1: Add the ratio parts together
In this case, the sum of the ratio parts is 1 + 2 + 4 = 7.
Step 2: Divide the total sum by the sum of the ratio parts
The total sum of money is #126. So, #126 divided by 7 is #18.
Step 3: Multiply the ratio parts by the result from step 2
Now, we need to find out how much each person would receive based on the ratio.
John's share: 1 part of the ratio is 1/7 of the total sum, so 1/7 * #18 = #2.57 (rounded to 2 decimal places)
Amos's share: 2 parts of the ratio is 2/7 of the total sum, so 2/7 * #18 = #5.14 (rounded to 2 decimal places)
Peter's share: 4 parts of the ratio is 4/7 of the total sum, so 4/7 * #18 = #11.43 (rounded to 2 decimal places)
Therefore:
John received approximately #2.57
Amos received approximately #5.14
Peter received approximately #11.43