Question

20 Points:

The high school drama club earned $855 after selling 255 tickets. The student
tickets were $1 each, and guest tickets were $5 each.
How many student and guest tickets were sold?
Let the number of students = `x`.
Let the number of guests = `y`.

A) 70 students and 185 guests
B) 185 students and 70 guests
C) 150 students and 105 guests
D) 105 students and 150 guests

Answer 1

x=105

y=150

Explanation:

Systematic solution:

`\left \{ {{x+y=255} \atop {x+5y=855}} \right.`

`\left \{ {x=255-y} \atop {x+5y=855} \right.`

255-y+5y=855

4y=600

y=150

x=255-150=100

Answer:

x=105

y=150

Answer 2

D. 105 students and 150 guests

Explanation:

105 students and $1 for each ticket is $105.(105 x 1 = 105)

150 guests and $5 for each ticket is $750.(150 x 5 =750)

$105 + $750 = $855