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=20
180 minus 20 x equals 140 minus 16 x ; x equals 20
140+16x=180+20x ; x=10
140 plus 16 x equals 180 plus 20 x ; x equals 10
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
Skip to navigation
The correct equation is 180 - 20x = 140 - 16x ; x = 20
The correct equation to show when the two machines will have the same amount of ice cream left is:
180 − 20x = 140 − 16x
To solve for x, we can simplify the equation:
180 − 140 = 20x − 16x
40 = 4x
Dividing both sides by 4, we get:
10 = x
Therefore, the two machines will have the same amount of ice cream left after 10 days.
To find when the two machines will have the same amount of ice cream left, we need to set up and solve an equation.
Let's use the equation 180 - 20x = 140 - 16x, where x represents the number of days.
This equation represents the difference between the initial ice cream capacity and the number of cups sold for each machine over x days.
To solve the equation, we'll combine like terms:
180 - 20x = 140 - 16x
-20x + 16x = 140 - 180
-4x = -40
Now, we'll isolate x by dividing both sides of the equation by -4:
(-4x)/-4 = (-40)/-4
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.