Question

Movie Theatre A has a popcorn machine with a 100-gallon capacity, and sells 3 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity, and sells 5 gallons of popcorn per hour. Write an equation to show when the two popcorn machines will have the same amount of popcorn left. Use x
𝑥
as your variable.(1 point)
Responses

100−3x=150−5x
100
−
3
𝑥
=
150
−
5
𝑥

100 minus 3 x equals 150 minus 5 x

100+3x=150+5x
100
+
3
𝑥
=
150
+
5
𝑥

100 plus 3 x equals 150 plus 5 x

3x−100=5x−150
3
𝑥
−
100
=
5
𝑥
−
150

3 x minus 100 equals 5 x minus 150

150+3x=100+5x

Answer 1

100 − 3x = 150 − 5x

(If you solve it: add 5x to both sides → 100 + 2x = 150 → 2x = 50 → x = 25 hours.)