Mr and Mrs Jones buy cinema tickets for themselves and their three children - OCR - GCSE Maths - Question 9 - 2019 - Paper 1

The total number of tickets bought is 5, which includes 2 adult tickets and 3 child tickets. Therefore, we can set up the equation:

$2(x + 6) + 3x = 45$

Expanding the equation gives:

$2x + 12 + 3x = 45$

This simplifies to:

$5x + 12 = 45$

To isolate $x$, subtract 12 from both sides:

$5x = 45 - 12$

This simplifies to:

$5x = 33$

Now, divide by 5:

x = rac{33}{5} = 6.6

Since $x$ represents the cost of a child ticket, we substitute back to find the cost of an adult ticket:

$x + 6 = 6.6 + 6 = 12.6$

Thus, the cost of an adult ticket is £12.60.