total volume of the glass is
.
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
, Now, solve this to find value of x
⇒ ![\frac{x}{4}+70 = \frac{3x}{5}](/tpl/images/0554/1597/a5cbe.png)
⇒ ![70 = \frac{3x}{5}- \frac{x}{4}](/tpl/images/0554/1597/085e6.png)
⇒ ![70 = \frac{3x((4)-x(5)}{5(4)}](/tpl/images/0554/1597/95645.png)
⇒ ![70 = \frac{12x-5x}{20}](/tpl/images/0554/1597/4060b.png)
⇒ ![70(20) = 12x-5x](/tpl/images/0554/1597/50460.png)
⇒ ![7x = 1400](/tpl/images/0554/1597/79a05.png)
⇒ ![\frac{7}{7}x = \frac{1400}{7}](/tpl/images/0554/1597/674b5.png)
⇒ ![}x =200cm^3](/tpl/images/0554/1597/678de.png)
Therefore, total volume of the glass is
.