Answer:
7.2 or 7
Explanation:
We can start solving the problem by using algebra. Let x be the total number of boats in the marina.
We know that:
Two-thirds of the boats are white, which means 2/3*x = white boats
5/8 of the remaining boats are blue, which means 5/8*(x-2/3*x) = blue boats
The rest are red, which means x-2/3x-5/8(x-2/3*x) = red boats
We also know that there are 6 red boats, so we can substitute that into the equation:
x-2/3x-5/8(x-2/3*x) = 6
We can simplify and solve for x:
x-2/3x-5/8x+5/4x = 6
x(1-2/3-5/8+5/4) = 6
x(1-5/6) = 6
x = 36/5 = 7.2
So, there are 7.2 boats in the marina. Since it's not possible to have a fractional number of boats it's safe to assume there are 7 boats in the marina.
It's important to note that the total number of boats in the marina can be calculated by the sum of all the boats on the marina. The total number of boats in the marina is white boats + blue boats + red boats.