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

Question

1. A drama club earned $662.50 from a production where 85 adult tickets were sold and 65
student tickets were sold. An adult ticket costs $2.50 more than a student ticket. Which
system of equations can be used to find a, the cost of an adult ticket, and s, the cost of a
student ticket?

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Gia Bảo 3 years 2021-08-30T16:40:38+00:00 1 Answers 23 views 0

Answers ( )

    0
    2021-08-30T16:41:47+00:00

    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

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