Question

Fraction worded problem?

The glass is `1/3` full. `75cm^3` of juice is poured in, now the glass is `3/4` full. Work out the volume of glass.

Answer 1

`y=180cm^3`

Explanation:

We had `1/3` of the glass, which is equivalent to `x` `cm^3` of water.

Now, we add `75cm^3` to `x`.

And with that, we have `3/4` of the glass full with `75+x` centimeter cubed of water.

We let `y` equal the volume of glass

We have:

`1/3y=x`

`3/4y=75+x` Subtract both equations.

`1/3y-3/4y=x-(75+x)`

`4/12y-9/12y=x-75-x`

`-5/12y=-75`

`-cancel5/cancel12y*cancel12/cancel5=-cancel5*15*12/cancel5`

`-y=-15*12`

`-y=-180`

`y=180cm^3`