Question

A glass is full. Then 70cm of orange juice is poured in.

The glass is now i full. What is the total volume of the glass?

Answer 1

392cm³

Explanation:

First, we need to find what fraction of the whole volume was just added. We started with 4/7 and ended up with 3/4, so we can take the difference of the two to find the fractional part added:

`(3)/(4)-(4)/(7) =\\\\(21)/(28)-(16)/(28) =(5)/(28)`

So, that 70cm³ represents 5/28 of the whole glass. If 70cm³ is 5/28 of the glass's volume, then 70/5 = 14cm³ must be 1/28 of the volume. From here, we can simply multiply 14 by 28 to find the total volume, all 28/28 of it:

14 · 28 = 392cm²