There are some hats in a box.1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green hats, how many hats are there altogether?

What do you think?

really have no clue

To find the total number of hats, we need to work step by step.

First, let's determine the number of green hats. It is given that 3/7 of the remainder are green, and we know there are 27 green hats. So, we can set up the equation:

(3/7) * (remainder) = 27

To solve for the remainder, we need to get rid of the fraction. We can do this by multiplying both sides of the equation by the reciprocal of 3/7, which is 7/3:

(3/7) * (7/3) * (remainder) = 27 * (7/3)

Simplifying, we get:

(1) * (remainder) = 63

Thus, the remainder is equal to 63.

Next, let's calculate the number of hats that are not green. The remainder consists of hats that are not green, so the total number of hats that are not green is 63 + 27 = 90.

Now, we can determine the number of blue hats. It is given that 1/3 of the hats are blue. So we can set up the equation:

(1/3) * (total number of hats) = 90

To solve for the total number of hats, we multiply both sides of the equation by the reciprocal of 1/3, which is 3/1:

(1/3) * (3/1) * (total number of hats) = 90 * (3/1)

Simplifying, we get:

(1) * (total number of hats) = 270

Therefore, the total number of hats is equal to 270.

In conclusion, there are 270 hats altogether.