Question

1. A drama club earned $662.50 from a production where 85 adult tickets were sold and 65

Answer 1

Answer: The cost of adult ticket is $6.1 and that of student ticket is $2.44

Step-by-step explanation:

Let the cost of adult ticket be 'x' and cost of student ticket be 'y'

From the question, the equations formed are:

$662.5=85x+65y$                .....(1)

$x=2.5y$                                ......(2)

Putting value of 'y' from equation 2 to equation 1:

$662.5=85(2.5x)+65y\\\\662.5=271.5y\\\\y=\frac{662.5}{271.5}=\ 2.44$

Now, solving for 'x', we get:

$x=2.5(2.44)=\ 6.1$

Hence, the cost of adult ticket is $6.1 and that of student ticket is $2.44