Answer
a) $200x+150y = 1000$
b) See the graph. Three possible prices--1 for students and 5.33 for adults, 2 for students and 4 for adults, 3 for students and 2.67 for adults
Work Step by Step
a)
200 students will attend (x), 150 adults will attend (y), amount to raise is 1000
$200x+150y = 1000$
b)
Let $x = 1$
$200x+150y = 1000$
$200+150y = 1000$
$200+150y-200 = 1000-200$
$150y = 800$
$150y/150 = 800/150$
$y = 5.33$
Let $x = 2$
$200x+150y = 1000$
$200*2+150y = 1000$
$400 +150y = 1000$
$400 +150y-400 = 1000-400$
$150y = 600$
$150y/150 = 600/150$
$y = 4$
Let $x = 3$
$200x+150y = 1000$
$200*3+150y = 1000$
$600+150y = 1000$
$600+150y-600 = 1000-600$
$150y = 400$
$150y/150 = 400/150$
$y = 2.67$
