Answer:
Originally, there were 48 computers
The hospital got 12.
The school got 18.
The self hep group got 6.
The remainder is 12.
Explanation:
Original number of computers = x
The hospital got x/4. x - x/4 = 3x/4. There were 3x/4 left after the hospital.
The school got 1/2 what was left after the hospital, so the school got
1/2 × 3x/4 = 3x/8
The self help group got 1/3 of what the school got.
1/3 × 3x/8 = 3x/24 = x/8
The remainder is x/8 + 6
x = x/4 + 3x/8 + x/8 + x/8 + 6
The LCD of 4 and 8 is 8. Multiply both sides of the equation by 8 to eliminate all denominators.
8 × x = 8 × x/4 + 8 × 3x/8 + 8× x/8 + 8 × x/8 + 8 × 6
8x = 2x + 3x + x + x + 48
8x = 7x + 48
x = 48
Answer:
Originally, there were 48 computers
The hospital got 12.
The school got 18.
The self hep group got 6.
The remainder is 12.