Question

10 people can paint a building in 5 days. if each person painted as quickly as the others then how much of the building could 7 people paint in 5 days?

Answer 1

So basically it takes 10 people to paint a whole building. Forget about the 5 days. That's just there to confuse you. You have to first find out how much of a building can one person paint so, 1/10. So that means that 7 people can paint 7/10 of a building in 5 days

Answer 2

ANSWER

$\frac{7}{10}$

EXPLANATION


It was given that, 10 people can paint a building in 5days.


We can write the ratio,

$10 : 1$

Now we want to find how much of the building

7 people could paint in the same 5 days working at the same rate.


Let it be in the ratio,

$7 : x$

Then we can write and solve the following proportional equation for x,

$10 : 1 = 7 : x$




We can rewrite this as a fraction to get,

$\frac{10}{1} = \frac{7}{x}$


Let us now cross multiply to get,


$10x = 7$


We divide both sides by 10 to obtain,


$x = \frac{7}{10}$
This means the 7 people can only paint a fraction ( 70%) of the building and not the whole building.