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?

Question

Mathematics

Grace Stanley

12 February, 02:24

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?

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Magnolia · 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