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.(1 point)Responses150+3x=100+5x150 plus 3 x equals 100 plus 5 x3x−100=5x−1503 x minus 100 equals 5 x minus 150100+3x=150+5x100 plus 3 x equals 150 plus 5 x100−3x=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.(1 point)Responses180−20x=140−16x ; x=10180 minus 20 x equals 140 minus 16 x ; x equals 10180−20x=140−16x ; x=20180 minus 20 x equals 140 minus 16 x ; x equals 20140+16x=180+20x ; x=10140 plus 16 x equals 180 plus 20 x ; x equals 10180+16x=140+20x ; x=−10
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.(1 point)Responses104+16x=92+13x ; x=4104 plus 16 x equals 92 plus 13 x ; x equals 492+16x=104+13x ; x=492 plus 16 x equals 104 plus 13 x ; x equals 492−16x=104−13x ; x=−492 minus 16 x equals 104 minus 13 x ; x equals negative 492+16x=104+13x ; x=6
104 + 16x = 92 + 13x ; x = 6
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.(1 point)Responses120+7x=150+9x ; x=−15120 plus 7 x equals 150 plus 9 x ; x equals negative 15120−7x=150−9x ; x=10120 minus 7 x equals 150 minus 9 x ; x equals 10120−7x=150−9x ; x=15120 minus 7 x equals 150 minus 9 x ; x equals 15120x−7=150x−9 ; x=15120 x minus 7 equals 150 x minus 9 ; x equals 15
