in order to purchase a computer for the student activities office, the freshman class decides to raise 1/3 of the money and the sophomore class decides to raise 1/2 of the money. The student government association agrees to contribute to the rest which amounted to $400.what was the cost of the computer?

(1/3)x + (1/2)x + 400 = x

(2/6)x + (3/6)x + 400 = x

(5/6)x -x = -400

-(1/6)x = -400

x = 400/(1/6)

x = 400 * 6

x = 2400

Would this be a geometric sequence?

Can you write it in a sentence

Yes.

What sentence should YOU write?

How did you turn 5/6 to 1/6

I don't understand how you turned 5/6 to 1/6

To find the cost of the computer, we need to add up the amounts raised by the freshman class, the sophomore class, and the student government association.

Let's start with the freshman class. The problem states that they raised 1/3 of the money. So, if we let 'x' represent the total cost of the computer, the amount raised by the freshman class is (1/3)*x.

Next, we consider the sophomore class. The problem states that they raised 1/2 of the money. So their contribution would be (1/2)*x.

Finally, we have the student government association, which contributed $400.

Therefore, we can set up the following equation to represent the total raised money:

(1/3)*x + (1/2)*x + $400 = x

To solve for 'x', we can multiply each side of the equation by the least common denominator (6), which gives us:

2x + 3x + $2400 = 6x

Combining like terms, we get:

5x + $2400 = 6x

Subtracting 5x from both sides, we get:

$2400 = x

So, the cost of the computer is $2400.