Question 0112

Equations and Inequalities
2012 Paper 1 Question 1 Variant

Question

Tickets for a school concert are priced differently depending on whether the attendee is a student, a teacher, or a parent. Three groups of people, A,B{A,B} and C,{C,} attend the concert. The numbers in each category for each group, along with the total cost of the tickets for each group, are given in the following table.
Group Students Teachers Parents Total cost
A{A} 10 4 5 $163.80
B{B} 5 3 6 $113.59
C{C} 8 6 3 $144.82
Write down and solve equations to find the cost of a ticket for each of the categories.
[4]

Answer