28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16. If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?

Difference = £10

Step-by-step explanation:

Represent adult with A and children with C

Required

Determine the difference in price of both tickets

Convert ratio to fraction

Cross Multiply

Make C the subject

Substitute in

Take LCM

Multiply both sides by 16

Make A the subject

Substitute 18416 for A in

If a children ticket costs £15, then total children tickets cost:

The total sales is given as:

So, the total cost of adult ticket is:

Recall that number of adults is: 18416

So, an adult ticket costs

So, we have that:

Children Ticket = £15

Adult Ticket = £25

The difference is:

Difference = £25 - £15

Difference = £10

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