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
180−20x=140−16x
; x=20
180 minus 20 x equals 140 minus 16 x ; x equals 20
140+16x=180+20x
; x=10
The correct equation is:
180 - 20x = 140 - 16x
To solve for x, we can combine like terms:
4x = 40
Dividing both sides by 4:
x = 10
So the two machines will have the same amount of ice cream left after 10 days.
The correct equation to show when the two machines will have the same amount of ice cream left is:
180 - 20x = 140 - 16x
Where x represents the number of days.
Solving this equation, we find that x = 10.
Therefore, the two machines will have the same amount of ice cream left after 10 days.