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

Answer:

3.6

Step-by-step 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

Answer:

4 people

Step-by-step 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,

$x_1\times n_1=x_2\times n_2$

Here,

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

By substituting the values,

$6\times 5=3x_2$

$\implies x_{2}=\frac{30}{3} = 10$

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