For questions 11 to 13, show your working clearly and write your answers in the spaces provided. The number of marks available is shown in the brackets [ ] at the end of each question or part-question. [12 marks] Tim and Jerry were paid a total of $8568 for selling tickets. Tim was paid$5304 more than Jerry.

1. Find twice the amount Tim was paid by adding the difference to the total

$8568 + 5304 = 13872$

2. Divide by 2 to find Tim's amount

$13872 \div 2 = 6936$

1. Calculate the total amount Tim and Jerry were each paid (from part a)

Tim's pay = $(\char36{}8568 + \char36{}5304) \div 2 = \char36{}6936$
Jerry's pay = $\char36{}8568 - \char36{}6936 = \char36{}1632$

2. Find Tim's pay for an equivalent number of tickets as Jerry (1 unit)

Let the number of tickets Jerry sold be $1$ unit.
Tim sold $3$ units of tickets.
Tim's pay for $1$ unit of tickets = $\char36{}6936 \div 3 = \char36{}2312$

3. Find the difference in pay for 1 unit of tickets

Difference in pay for $1$ unit of tickets = $\char36{}2312 - \char36{}1632 = \char36{}680$

4. Calculate the number of tickets in 1 unit (Jerry's tickets)

Since Tim was paid $\char36{}5$ more per ticket, the difference in pay for $1$ unit of tickets is due to this extra $\char36{}5$ per ticket.
Number of tickets in $1$ unit = $680 \div 5 = 136$

5. Calculate the number of tickets Tim sold

Tim's tickets = $136 \times 3 = 408$