Question

It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days? Please include how to solve the question.

Answer 1

3.6

Explanation:

you can use a proportion for this. Since 6 people are painting several offices in 5 days you would put 6 over 5. now we have three numbers and we need to find how many people can complete the same job in three days. so we would put 3 across from 5 because there both the same label (day). we don't know the fourth number so put a x or variable any letter. we need to find x. after you set up your proportion you would then cross multiply . 6 times 3 is 18 and 5 times x is 5x. now we divide. 5 divided by 5x is just x or 1x. so you have x alone now. 18 divided by 5 is 3.6 so x is 3.6 which is the answer .

6people x

----------------------- 18/5 = 3.6

5days 3Days

Answer 2

4 people

Explanation:

When
`x_1` people complete a piece of work in
`n_1` days and the same work is completed by
`x_2` people in
`n_2` days,

Then,

`x_1* n_1=x_2* n_2`

Here,

`x_1=6,n_1=5, n_2 = 3`

By substituting the values,

`6* 5=3x_2`

`\implies x_(2)=(30)/(3) = 10`

Thus, the additional number of people = 10 - 6 = 4