Question

Hi! Here is the question and photo. The last tutor could not answer this.A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Complete the table with the missing values.Question please- IF the square meters of the ceiling is "a" then how do you find the answer of 10.75 x ? It is the last question at the bottom of the column. THANK YOU

Answer 1

Let's walk back the poblem a bit.

We know that every square meter of ceiling requires 10.75 tiles. How many tiles would 10 square meters need?

We can consider that question as the following statement: "1 is to 10.75 as 10 is to x".

This leads to the following equation to obtain the value of x:

$x=\frac{10\cdot10.75}{1}=107.5.$

Now, what if instead of 10 square meters of ceiling we want to find out how many tiles are needed for a square meters of ceiling? The equation becomes:

$x=\frac{a\cdot10.75}{1}=10.75\cdot a\text{.}$

And so, the answer is 10.75*a.