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) 140+16x=180+20x:x=10 180−20x=140−16x:x=20 180+16x=140+20x;x=−10 180−20x=140−16x:x=10
180 - 20x = 140 - 16x
This equation shows when the two machines will have the same amount of ice cream left.
To solve the equation:
- Subtract 140 from both sides: 180 - 140 - 20x = -16x
- Combine like terms: 40 - 20x = -16x
- Add 16x to both sides: 40 - 20x + 16x = 0
- Combine like terms: -4x + 40 = 0
- Subtract 40 from both sides: -4x = -40
- Divide both sides by -4: x = 10
Therefore, the correct equation is 180 - 20x = 140 - 16x and the solution is x = 10.