(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
(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
What sentence should YOU write?
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.