Question

A roofing company determines that they can install 3 roofs in 4 days withtheir crews. At this rate, how many roofs can they install over 3 weeks (15working days)?

Answer 1

Hello there. To solve this question, we'll have to remember some properties about multipliers.

A roofing company determines that they can install 3 roofs in 4 days with their crews.

We need to determine how many roofs can they install over 3 weeks (15 working days).

For this, we start dividing the working days by how many days they need to install 3 roofs:

$\frac{15}{4}=3.75$

In this case, we have to multiply this number by 3, because this is how many roofs they would install in this number of days:

$3\cdot3.75=11.25$

But we have to round this to the smallest nearest integer (since they cannot install 0.25 roofs)

$\mleft\lfloor11.25\mright\rfloor=11$

Therefore, we say that they can install 11 roofs over the course of 15 working days.