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)%0D%0AResponses%0D%0A%0D%0A180+16x=140+20x ; x=−10%0D%0A180 plus 16 x equals 140 plus 20 x ; x equals negative 10%0D%0A%0D%0A180−20x=140−16x ; x=20%0D%0A180 minus 20 x equals 140 minus 16 x ; x equals 20%0D%0A%0D%0A180−20x=140−16x ; x=10%0D%0A180 minus 20 x equals 140 minus 16 x ; x equals 10%0D%0A%0D%0A140+16x=180+20x ; x=10

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)%0D%0AResponses%0D%0A%0D%0A180+16x=140+20x ; x=−10%0D%0A180 plus 16 x equals 140 plus 20 x  ;  x equals negative 10%0D%0A%0D%0A180−20x=140−16x ; x=20%0D%0A180 minus 20 x equals 140 minus 16 x  ;  x equals 20%0D%0A%0D%0A180−20x=140−16x ; x=10%0D%0A180 minus 20 x equals 140 minus 16 x  ;  x equals 10%0D%0A%0D%0A140+16x=180+20x ; x=10

Bot GPT 3.5 · Answer

The correct equation is: 180 - 20x = 140 - 16x. To solve this equation, you can start by isolating the variables on one side: 180 - 140 = -16x + 20x 40 = 4x Dividing both sides by 4, you get: 10 = x Therefore, the two machines will have the same amount of ice cream left after 10 days.