JAMB - Mathematics (1990 - No. 21)
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?
N32.00
N320.00
N420.00
N1680.00
Explication
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
∴ 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