15. Ethan and John sold movie night tickets for

a school fundraiser. The price for a student

ticket was $3, while the price for an adult was

$6. The total number of tickets sold was 127.

The total money raised was $447. How many of

each ticket type was sold?

Step-by-step explanation:

Let ticket for students be x

Let ticket for adults be y

x + y = 127 ... (1)

3x + 6y = 447 ... (2)

Making x as subject in (1)

x = 127 - y ... (3)

Substituting in (2)

3 (127 - y) + 6y = 447

381 - 3y + 6y = 447

3y = 447 - 381

3y = 66

y = 66/3

y = 22

And x = 127 - y

x = 127 - 22

x = 105

105 tickets were sold to student and 22/ticket were sold to adults