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Cinema tickets: one price per age category

A cinema sells tickets at three different prices, depending on the age of the customers. The age categories are under 16 years, between 16 and 65 years, and over 65 years.

Three groups of people A, B and C go to the cinema on the same day.

The numbers in each age category for each group, together with the total cost of the tickets for each group, are given in the following table.

GroupUnder 16 yearsBetween 16 and 65 yearsOver 65 yearsTotal cost
A964$162.03
B753$128.36
C1045$158.50

Write down and solve equations to find the cost of a ticket for each of the age categories. marks

[2012/I/1]

CJC · Review Problems · Question 1

Name the unknown quantities and their units, then translate each independent condition into an equation.

Read the worked solution