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



EXPLANATION

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

We can write the ratio,



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,



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



We can rewrite this as a fraction to get,



Let us now cross multiply to get,



We divide both sides by 10 to obtain,


This means the 7 people can only paint a fraction ( 70%) of the building and not the whole building.