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For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. If c is the number of student tickets sold, which equation can be used to find the amount of tickets sold of each type?

User Mkasberg
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2 Answers

4 votes
5c+10a=3570 c+a=512 ... a=512-c so ... 5c + 10(512-c)=3570
User Iyad Al Aqel
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2 votes

Answer:

The system of equations is equal to


a+c=512


5c+10a=3,570

The number of adult tickets sold is
a=202\ tickets

The number of student tickets sold is
c=310\ tickets

Explanation:

Let

c------> the number of student tickets sold

a-----> the number of adult tickets sold

we know that


a+c=512 -----> equation A


5c+10a=3,570 -----> equation B

Using a graphing tool

The solution of the system of equations is the intersection point both graphs

see the attached figure

The intersection point is
(202,310)

therefore

the solution is

the number of adult tickets sold is
a=202\ tickets

the number of student tickets sold is
c=310\ tickets

For a school drama performance, student tickets cost $5 each and adult tickets cost-example-1
User Saurab Parakh
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