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 $}x =200cm^3$ .

Step-by-step 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

$\frac{x}{4}+70 = \frac{3x}{5}$ , Now, solve this to find value of x

⇒ $\frac{x}{4}+70 = \frac{3x}{5}$

⇒ $70 = \frac{3x}{5}- \frac{x}{4}$

⇒ $70 = \frac{3x((4)-x(5)}{5(4)}$

⇒ $70 = \frac{12x-5x}{20}$

⇒ $70(20) = 12x-5x$

⇒ $7x = 1400$

⇒ $\frac{7}{7}x = \frac{1400}{7}$

⇒ $}x =200cm^3$

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