PUC raised money for the recent disaster victims.They decided to allocate the money in manner: 1/3 of the money goes for medical supplies, 1/4 of what was left brought tents,2/3 of the remaining went to water purification systems, the rest of the money was spent on shipping costs. If $400was allocated for water purification systems, How much money was allocated on each of the other categories? How much money did PUC raise for this cause?

1 answer

400 = 2/3 (2x/3 - 1/4 * 2x/3)
600 = 2/3 (x - 1/4x)
900 = x - x/4
900 = 3/4x
x = (4 * 900)/3
x = 1200