Question

A glass is

1/4
full. Then 70cm3 of orange juice is poured in.
The glass is now
3/5
full. What is the total volume of the glass?

Answer 1

total volume of the glass is
`}x =200cm^3` .

Explanation:

Here we have , A glass is 1/4 full. Then 70cm3 of orange juice is poured in.

The glass is now 3/5 full. We need to find that What is the total volume of the glass . Let's find out :

Suppose that volume of glass is x ,so according to question we have the following equation

`(x)/(4)+70 = (3x)/(5)` , Now, solve this to find value of x

⇒
`(x)/(4)+70 = (3x)/(5)`

⇒
`70 = (3x)/(5)- (x)/(4)`

⇒
`70 = (3x((4)-x(5))/(5(4))`

⇒
`70 = (12x-5x)/(20)`

⇒
`70(20) = 12x-5x`

⇒
`7x = 1400`

⇒
`(7)/(7)x = (1400)/(7)`

⇒
`}x =200cm^3`

Therefore, total volume of the glass is
`}x =200cm^3` .