Question

1. A Travel company takes a party of people to a hockey match at Wembley. 17 coaches are used. Each coach has seats for 46 passengers. There are twelve empty seats altogether. How many people are in the party? b) 998 football supporters use another travel company to go to a football match at Wembley. Each coach has seats for 53 passengers. (i) How many coaches are needed? Write down all your working to show you do not use a calculator. (ii) How many empty seats are there?

Answer 1

A. There are 17 coaches with 46 seats each. So total number of possible passengers = 17*46 = 782 passengers.

Since 12 seats are empty, number of people in the party = 782-12 = 770

B. There are 998 football supporters and coaches with 53 seats each.

Number of coaches needed = 998/53 = 18.83 =19 coaches since we cannot have fractional coaches.

(i)Number of coaches needed = 19

(ii) Number of empty seats = 19*53 -998 = 9 seats