The ticket prices for a particular concert were categorised as Cat $A$ (VIP seated), Cat $B$ (ga

Question

The ticket prices for a particular concert were categorised as Cat $A$ (VIP seated), Cat $B$ (gallery seated) and Cat $C$ (gallery standing). After checking with his friends, Olaf discovered the following facts: The cost of $5$ Cat $A$, $6$ Cat $B$ and $9$ Cat $C$ tickets is $\$5885$. A Cat $B$ ticket costs $\$70$ more than a Cat $C$ ticket. The cost of $2$ Cat $B$ tickets and $3$ Cat $C$ tickets is equal to the cost of $2$ Cat $A$ tickets. Write this information as three linear equations, and hence find the cost of a Cat $A$ ticket.[4] During a flash sale, bundles of tickets, each consisting of $1$ Cat $A$ and $2$ Cat $C$ tickets, are sold at a discount of $26\%$. If Olaf has $\$6000$ in his account, what is the maximum number of bundles he can buy?[2]

Accepted Answer

(a)$535 (b)max number = 8

2024 RI H1 Q1

2024 RI H1 Q1