Question

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values. Square meters of ceiling Number of fles 1 10 023 What is the value of the red X?

Answer 1

Let's begin by listing out the information given to us:

1 square meter of ceiling = 10.75 tiles as shown below

$1m^2=10.75tiles-----1$

To calculate for the number of tiles for 1 square meter, we have:

$\begin{gathered} 1m^2=10.75tiles \\ \therefore x=10.75tiles \end{gathered}$

To calculate for the number of tiles for 10 square meters, we will multiply the equation above by 10. We have:

$\begin{gathered} 1m^2=10.75tiles \\ 10m^2=y \\ \text{Cross multiply, we have:} \\ y\cdot1m^2=10\cdot10.75m^2\cdot tiles \\ y=\frac{10\cdot10.75m^2\cdot tiles}{1m^2}=107.5tiles \\ y=107.5tiles \end{gathered}$