Question

Linear Equations in Real-World Scenarios Quick Check

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Question
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)
Responses

180−20x=140−16x ; x=10
180 minus 20 x equals 140 minus 16 x ; x equals 10

180+16x=140+20x ; x=−10
180 plus 16 x equals 140 plus 20 x ; x equals negative 10

140+16x=180+20x ; x=10
140 plus 16 x equals 180 plus 20 x ; x equals 10

180−20x=140−16x ; x=20

Answer 1

[AI-generated answer — Bot GPT 3.5]

180 minus 20x equals 140 minus 16x ; x equals 20

Answer 2

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) Responses 92+16x=104+13x ; x=6 92 plus 16 x equals 104 plus 13 x ; x equals 6 92−16x=104−13x ; x=−4 92 minus 16 x equals 104 minus 13 x ; x equals negative 4 104+16x=92+13x ; x=4 104 plus 16 x equals 92 plus 13 x ; x equals 4 92+16x=104+13x ; x=4