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?
can you explain how to do it please ??
To find the total volume of the glass, we can break down the problem into steps:
1. Start with the initial state of the glass being 1/4 full.
2. Let's assume the total volume of the glass is V cm³.
3. At this point, the glass is filled with 1/4 of its total volume, which is (1/4) * V cm³.
4. Next, pour 70 cm³ of orange juice into the glass.
5. Now, the glass is 3/5 full, which is equal to (3/5) * V cm³.
6. To find the total volume of the glass, we can set up an equation using the given information:
(1/4) * V + 70 = (3/5) * V
This equation reflects that the initial volume of the glass plus 70 cm³ equals the final volume of the glass.
7. Now, we can solve the equation to find the value of V, which represents the total volume of the glass.
By solving the equation, we can determine the total volume of the glass.
1/4 x + 70 = 3/5 x
Find x, the volume of the glass in cm^3