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.

Respuesta :

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:

4 people

Step-by-step explanation:

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

Then,

[tex]x_1\times n_1=x_2\times n_2[/tex]

Here,

[tex]x_1=6,n_1=5, n_2 = 3[/tex]

By substituting the values,

[tex]6\times 5=3x_2[/tex]

[tex]\implies x_{2}=\frac{30}{3} = 10[/tex]

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