36 boys can do a piece of of work in 49 days how many extra boys should be engaged so that the work may be finish in 21 days explain please
Answers
Answer:
48 boys extra boys are required to complete the piece of work.
Step-by-step explanation:
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Step-by-step explanation:
The answer is 48 boys
Workings/ Method
Step #1: Work out the total number of days to complete the piece of work. Each boy worked 49 days and there were 36 boys.
Days * Boys = Total number of days
49* 36 = 1,764
So it took a total of 1,764 days to complete the piece of work.
Step #2: Work out the total number of boys needed to finish a piece of work in 21 days.
We know Days = 21 and Total number of days = 1,764
So using:
Days * Boys = Total number of days
We get:
21 * Boys = 1,764
Use simple algebra to rearrange and find the number of boys.
Boys = 1,764/ 21 = 84
So 84 boys needed to finish a piece of work in 21 days.
Step #3: Work out how many extra boys would be needed.
84 - 36 = 48
48 boys extra boys are required to complete the piece of work.