There are white, and red boats in a marina. Two-thirds of the boats in the marina are white, 4/7 of the remaining boats are blue, and the rest are red. If there are 15 ref boats, how many boats are there in the marina?

105 boats

Step-by-step explanation:

Let x be the total number of boats in the marina.

If Two-thirds of the boats in the marina are white.

Fraction of the remaining boat = 1-⅔ = ⅓

4/7 of the remaining boats are blue.

4/7 of ⅓ are blue

4/7 X ⅓ = 4/21 are blue

Fraction of Red Boats =

1 - (Proportion of white Boats + Proportion of Blue Boats)

= 1 - (2/3+4/21) = 1/7

If there are 15 red boats,

1/7 of the total boats = 15

1/7 X x=15

x=15X7

x=105

There are 105 boats in total on the marina