Question

Henry worked for 8 days, Jack worked for 9.5 days while Steffi worked for 6.5 days to complete a project. If the amount earned for the project completion was shared among them in the ratio of the number of days each one had worked, find the ratio in which the amount was shared.

Answer 1

The ratio in which the amount is shared is 16:19:13

Explanation:

The given parameters are;

The number of days Henry worked = 8 days

The number of days Jack worked = 9.5 days

The number of days Steffi worked = 6.5 days

The sharing formula for the amount earned for the project = The ratio of the number of days worked by each one

The total number of days worked by all three = 8 days + 9.5 days + 6.5 days = 24 days

The fraction of the total number of days Henry worked = (8 days)/(24 days) = 1/3 = 16/48

The fraction of the total number of days Jack worked = (9.5 days)/(24 days) = 19/48

The fraction of the total number of days Steffi worked = (6.5 days)/(24 days) = 13/48

Therefore. the ratio in which the amount is shared = 16:19:13 (which is the same as the ratio of the number of days worked)