Roliga AI fel..

>I have 280 marbles that all look the same, I have 3 boxes, one red, one green, and one blue. I know that for every 6 marbles in the red and green box I should put 2 marbles in the blue box. 
Solve how many marbles are in each box.

Let's start by setting up some equations based on the information given:

Let's say that the number of marbles in the red box is R, the number of marbles in the green box is G, and the number of marbles in the blue box is B.

From the first piece of information, we know that:

R + G + B = 280

From the second piece of information, we know that for every 6 marbles in the red and green boxes combined, there should be 2 marbles in the blue box. So we can write:

2B = (R + G) / 3

Multiplying both sides by 3, we get:

6B = R + G

Now we have two equations and two unknowns, so we can solve for R, G, and B.

First, we can substitute 6B for R + G in the first equation:

R + G + B = 280

6B + B = 280

7B = 280

B = 40

Now we can use the equation 6B = R + G to solve for R and G:

6(40) = R + G

240 = R + G

We also know that R + G + B = 280, so we can substitute 40 for B and solve for R + G:

R + G + 40 = 280

R + G = 240

Now we have two equations with two unknowns:

R + G = 240
6B = R + G

Substituting 40 for B in the second equation, we get:

6(40) = R + G

240 = R + G

This is the same as the second equation above, so we have a consistent solution.

Therefore, the number of marbles in the red box is R = 240 - 40 = 200, the number of marbles in the green box is G = 240 - 40 = 200, and the number of marbles in the blue box is B = 40.