A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?
A. N32.00 B. N320.00 C. N420.00 D. N1680.00
Correct Answer: B
Explanation
Let his assistant work for x days ∴ his master worked (x + 10) day. Amount received by master = 40(x + 10), amount got by his assistance = 10x Total amount collected = N2000.00 ∴ 40(x + 10) + 10x = 2000 = 40x + 400 + 10x = 2000 50x + 400 = 2000 50x = 2000 - 400 50x = 1600 x = \(\frac{1600}{50}\) x = 32 days