Shawn has a box of balls. 3/5 of them are red an 2/3 of the remainder are blue. The rest of the balls are green. He has 35 more red balls than green balls.
a) How many blue balls does he have?
b) Then Shawn buys another 6 blue balls. What is the ratio of the number of red balls to the total number of blue and green balls he has in the end?
If there are x balls, then
red: 3/5 x
blue: 2/3 * 2/5 = 4/15 x
green: 2/15 x
so now you know that
3/5 x = 2/15 x + 35
(a) solve for x
(b) the new ratio is (3/5 x)/(2/5 x + 6)