Question

2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.

Answer 1

child: 14

Adult : 2

Explanation:

2A + 3C = 46------------eqn 1

3A + 5C = 76------------eqn 2

eqn 1 x 3 : 6A + 9C = 138----------- eqn 3

eqn 2 x 2: 6A + 10C = 152-----------eqn 4

eqn 4 - eqn 3: 1OC - 9C = 152 - 138

1C = 14

subst 1C = 14 into eqn 1

2A + 3(14) = 46

2A = 46 - 42

2A = 4

1A = 2