Question

6 A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats. are being used. Each standard carriage has 78 seats. in each carriage 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.