Math New Drill (Level 1) : Ratios and proportions Problem 5 TOYOEIWA-2008

There are in total 400 balls of 4 colors of red, yellow, blue and green.
We threw balls to a box.

The number of balls which were not in the box was 100 or less pieces.
Among the balls in a box, 1/4 was red, 1/6 was yellow and 3/7 was green.
Find the number of green balls in the box.



Answer
52 pieces

Solution
Number of balls in the box = 400 - 100 = 300. 

Then 300 < (balls in the box) < 400.
Ratio of green in the box = 1 - (1/4 - 1/6 - 3/7) = 13/84
Number of ball is multiple of 84.
84 × 3 = 252, 84 × 4 =336, 84 × 5 = 420
It is 336.
336 × 13/84 = 52 pieces