Question

Two families go to the theatre
The Smith family of three adults and four children pay £67 the James family of five adults and six children pay £106
work out the cost of an adult ticket and the cost of a child ticket

Answer 1

Answer:

ADULT =11€

CHILDREN= 8.5€

Step-by-step explanation:

let's take adult as A ,child as C

3A + 4C = 67 ------(1)

5A + 6C = 106 -----(2)

(1)* 5 ,(2)*3,,,,,

15A + 20B = 335

15A + 18B = 318

------------------------------

2B = 17

B= 17/2 = 8.5 €

SUBSTITUTE B IN 1 ,

3A + 4(17/2)=67

3A = 33

A = 11€

ADULT = 11€

CHILDREN= 8.5€