Orange juice

[sunilrawat]

According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
25
34
50
67
100

I just want to know if my approach is right.

Concentrate to water ratio is 1:3
200 6-ounce servings of orange juice would mean 100 12-ounce servings.
The concentrate to water ratio is comes out to be 25:75.

Hence Option A

[arashyazdiha]

Yes it's correct, I solved it this way.
6*200 = 12*x + 3*12*x
so x = 25

[GmatKiss]

Yes it's correct, I solved it this way.
6*200 = 12*x + 3*12*xso x = 25

Can you please explain the bold part

[arashyazdiha]

Yes,
1 orange juice = 1 concentrate + 3 water so total of 4 which 1/4 is concentrate and 3/4 is water.
so 1/4 of the 1200 orange juice is 300. and how many 12 ounce cups can feet 300 ounces? and that is 300/12 which is 25.
I was saying that if you consider the cans 12 ounce and then according to above you will have the whole orange juice as 12*(1+3)*x cups(1 is for concentrate and 3 is for water)
Bests