word problem math

Question

Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less does X receive than if the profits were divided in proportion to the amount invested?

Answer 1

If divided equally, X would receive 1/3 of the profit

If divided proportionally...

Total invested= 9000 + 7000 + 4000 = 20,000

X invested = 9000/20000 = 9/20

So X would collect 9/20 of the profit

Convert each fraction to a common denominator (we will use 20*3= 60 to make it easy)

Equally = 1/3= 20/60

Proportionally = 9/20 = 27/60

27/60 - 20/60 = 7/60