number of trips made by bus ---- x
number of trips made by matatu ---- x+1
26x + 14(x+1) = 494
solve for x, then evaluate 14(x+1)
A 26 seater bus and 14 matatu were to transport 494 Pupils.if the matatu made an extra trip than the bus,how many pupils did the matatu transport?
5 answers
182 pupils
Correct!
The solution for x is:
26x + 14(x+1) = 494
Expanding the brackets and simplifying:
40x + 14 = 494
40x = 480
x = 12
So the bus made 12 trips, and the matatu made 13 trips.
To find out how many pupils the matatu transported:
14(x+1) = 14(12+1) = 14(13) = 182
Therefore, the matatu transported 182 pupils.
The solution for x is:
26x + 14(x+1) = 494
Expanding the brackets and simplifying:
40x + 14 = 494
40x = 480
x = 12
So the bus made 12 trips, and the matatu made 13 trips.
To find out how many pupils the matatu transported:
14(x+1) = 14(12+1) = 14(13) = 182
Therefore, the matatu transported 182 pupils.
182
Yes, that's correct! The matatu transported 182 pupils.