Problem Solving

Q: In a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts of yellow. Verdannt green is made by mixing 4 parts of yellow with 3 parts of blue paint. How many ltrs of yellow paint must be added to 14 ltrs of forest green to change it in to verdant greem

2
13/6
3
6
14/3

IMO : E ==> 14/3

FG = 4:3 ==> in 14 liter ==> 8 liter blue and 6 liter yellow

now you have to change the fraction to 3:4, by adding only yellow color.

so overall you can say that in new paint : 8 liter of blue ==> 3*new paint quanitity/7

so, new paint quantity ==> 56/3 ==> means addition yellow paint ==> 56/3 - 14 ==> 14/3

I like to rephrase the problem so that I can visualize what I need to do:

FG= 4b + 3y
VG= 3b + 4y

And the problem is asking us how to go from 3y to 4y. You simply add y, right? In orther words, what is 14+ y= 4y? Solve for y and you will get 14/3

That's a good question. What is the source of it?