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

To find the total number of boats in the marina, work backward by using the given information. Set up an equation to represent the total number of boats and solve for the unknown variable.

Step-by-step explanation:

To determine the number of boats in the marina, we can use the given information to work backward. We know that there are 6 red boats in the marina.

Since the remaining boats are blue and white, we need to find the total number of blue and white boats.

Five-eighths of the remaining boats are blue, which means that two-eighths or one-fourth are white.

Let's represent the total number of boats in the marina as x.

We can set up the following equation:

1/4 x = 6

Solving for x, we find that x = 24. Therefore, there are 24 boats in the marina.

Answer 2

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