Two machines at a factory are filling cans of soup. One machine has already filled 180 cans of soup, and fills cans at a rate of 15 per minute. The second machine has already filled 210 cans of soup, and fills cans at a rate of 12 per minute. Write an equation to show when the two machines will have filled the same number of cans of soup. Use x as your variable.
A. 12x+210=15x+180
B. 210−12x=180−15x
C. 12x+180=15x+210
D. 12x−210=15x−180
D. 92+16x=104+13x ; x=4
C. 120−7x=150−9x ; x=15
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 as your variable.
A. 150+3x=100+5x
B. 100+3x=150+5x
C. 3x−100=5x−150
D. 100−3x=150−5x
An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has a 180-cup capacity, and it sells 20 cups per day. The chocolate ice cream machine has a 140-cup capacity, and it sells 16 cups per day. Write and solve an equation to show when the two machines will have the same amount of ice cream left.
A. 180+16x=140+20x ; x=−10
B. 140+16x=180+20x ; x=10
C. 180−20x=140−16x ; x=20
D. 180−20x=140−16x ; x=10
Two machines at a factory are filling cans of soup. One machine has filled 92 cans of soup. It fills cans at a rate of 16 cans per minute. The second machine has filled 104 cans of soup. It fills cans at a rate of 13 cans per minute. Write and solve an equation to show when the two machines will have filled the same number of cans of soup.
A. 92−16x=104−13x ; x=−4
B. 104+16x=92+13x ; x=4
C. 92+16x=104+13x ; x=6
D. 92+16x=104+13x ; x=4
Movie Theatre A has a popcorn machine with a 120-gallon capacity. It sells 7 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity. It sells 9 gallons of popcorn per hour. Write and solve an equation to show when the two popcorn machines will have the same amount of popcorn left.
A. 120x−7=150x−9 ; x=15
B. 120+7x=150+9x ; x=−15
C. 120−7x=150−9x ; x=15
D. 120−7x=150−9x ; x=10