Question

A train has 1 first class carriage and 6 standard carriages.

the first class carriage has 64 seats, 3/8 are being used.

each standard carriage has 78 seats, 7/13 are being used.

Are more than half the seats on the train being used?

Answer 1

Yes

Explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

24 + 126 = 150 . . . occupied seats

The number of available seats is ...

64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

150 > 149, so more than half the seats on the train are being used.