Mason, Joshua, and Nicholas worked together and earned $2,160. They finished a job in 30 days and each day Mason worked 2 hours, Joshua worked 3 hours, and Nicholas worked 4 hours. They want to share money according to the number of working hours. How much money will Joshua receive?
Explanation
Answer: C - Joshua will receive $720. They should share money according to ratio 2:3:4. Denote the amounts that Mason, Joshua and Nicholas will receive with x, y and z, respectively.
x + y + z = 2,160
x:y:z = 2:3:4 = t
x = 2t,y = 3t,z = 4t
2t + 3t + 4t = 2,160
9t = 2,160
t = 2,160/9 = 240
Therefore, Joshua will receive y = 3t = 3×240 = 720 dollars.
