Question

There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, five-eighths of the remaining boats are blue, and the rest are red. If there are 6 red boats, how many boats are in the marina?

Answer 1

X = total boats
2/3x are white....so the remaining boats = 1/3x
5/8 of the remaining boats are blue.....5/8 * 1/3 = 5/24x are blue

2/3 + 5/24 = 16/24 + 5/24 = 21/24 are blue and white......so 3/24 are red
3/24x = 6
x = 6 * 24/3
x = 144/3
x = 48 total boats in the marina <==

2/3(48) = 32 white
5/24(48) = 10 blue
3/24(48) = 6 red