Question

james, katherine and liam share the profit from their shop depending on the hours that they work. james work 10 hours per week katherine works 25 and liam works 15one week katherine earned 1100 more than liam.
a- how much did james earn that week? and what was the total profit?
b- in another week james earned 750 less than liam. what did katherine earn and was the total profit?

Answer 1

Part a.
Let the profit for one hour be x 
Katherine earned 1100 more than Liam. that means-
25x - 15x = 1100
10x = 1100 
x = 110
so James earned 110 into 10 = 1100 that week. 
total profit of that week = 10x +25x +15x = 50x = 50 into 110 = 5500

Part b.
Let the profit for one hour be x
James earned 750 less than Liam. that means -
15x - 10x = 750 
5x = 750 
x = 150 
Katherine's share = 25 into 150 = 3750
total profit = 10x +25x+15x = 50 into 150 = 7500