Answer:
The price of adult ticket is £38.
Step-by-step explanation:
First, you have to form equations in terms of a (adult) and c (child) :
[tex]2a + 4c = 152 - - - (1)[/tex]
[tex]a = 2c - - - (2)[/tex]
Next, you have to solve these equations by substitution :
[tex](2)→(1)[/tex]
[tex]2(2c) + 4c = 152[/tex]
[tex]8c = 152[/tex]
[tex]c = 152 \div 8[/tex]
[tex]c = 19[/tex]
[tex]substitute \: c = 19 \: into \: (2)[/tex]
[tex]a = 2 \times 19[/tex]
[tex]a = 38[/tex]
