There are two types of tickets for a school play: student tickets and tickets for the general public. The total cost for one student ticket and one general public ticket is $\$ 10$. The total cost for 10 student tickets and 12 general public tickets is $\$ 116$. How much does a student ticket cost?
A) $\$ 1$
B) $\$ 8$
C) $\$ 3$
D) $\$ 2$

Question

Quizplus · Accepted Answer

Let the cost of a student ticket be $x$ dollars and the cost of a general public ticket be $y$ dollars. From the given information, we have two equations:1. $x + y = 10$2. $10x + 12y = 116$Solving these equations simultaneously, we can find the value of $x$. Multiplying the first equation by 10 gives $10x + 10y = 100$. Subtracting this from the second equation gives $2y = 16$, so $y = 8$. Substituting $y = 8$ into the first equation gives $x + 8 = 10$, so $x = 2$. Therefore, a student ticket costs \$2.

There Are Two Types of Tickets for a School Play $10\$ 10$10

There Are Two Types of Tickets for a School Play $\$ 10$