Question

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected through sales from school concert tickets during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

• A. 4
• B. 6
• C. 8
• D. 12

Answer 1

The correct option is C

8

Given two equations are

5x + 2y = 48 ------- (i)

3x + 2y = 32 -------- (ii)

Solving both the equations simultaneously, we will get the cost of each student ticket and adult ticket.

Subtracting equation (ii) from (i)

$\Rightarrow$ 2x = 16

$\Rightarrow$ x = 8

Now, substituting the value of x in equation (i), we get

5 × 8 + 2y = 48

$\Rightarrow$ 2y = 8

$\Rightarrow$ y = 4

So, cost of each adult ticket = $ 8

Cost of each student ticket = $ 4.