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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #31464)