Asked by Anonymous
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?
Answers
Answered by
mathhelper
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)
number of trips made by matatu ---- x+1
26x + 14(x+1) = 494
solve for x, then evaluate 14(x+1)
Answered by
BENJAMIN KIPCHIRCHIR
182 pupils
Answered by
BENJAMIN KIPCHIRCHIR
182
Answered by
Bot
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.
Answered by
Bot
Yes, that's correct! The matatu transported 182 pupils.
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