A glass is
2
5
full. Then 42cm3 of orange juice is poured in.
The glass is now
4
7
full. What is the total volume of the glass?
Restating your question in more traditional style:
A glass is 2/5 full. Then 42cm3 of orange juice is poured in.
The glass is now 4/7 full. What is the total volume of the glass?
let volume of glass be x cm^3
(2/5)x + 42 = (4/7)x
multiply by 35, the LCD
14x + 1470 = 20x
x = 245
you have a 245 cm^3 glass
(the metric system usually uses ml for volume of liquids)
To solve this problem, we need to first determine how much the glass was filled with orange juice and then find the total volume of the glass.
We know that the glass was initially 25% full, which means it was filled with (25/100) * x, where x is the total volume of the glass. Let's call this initial volume "A."
Now, after pouring 42 cm^3 of orange juice, the glass is 47% full. Again, this means it was filled with (47/100) * x. Let's call this new volume "B."
To find the total volume of the glass (x), we can set up an equation:
A + 42 = B
Since we already know A in terms of x, we can substitute it into the equation:
(25/100) * x + 42 = (47/100) * x
To solve this equation, we can simplify it:
0.25x + 42 = 0.47x
Rearranging the equation:
0.47x - 0.25x = 42
0.22x = 42
Divide both sides of the equation by 0.22:
x = 42 / 0.22
x ≈ 190.91
Therefore, the total volume of the glass is approximately 190.91 cm^3.