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
180−20x=140−16x ; x=10
180 minus 20 x equals 140 minus 16 x ; x equals 10
140+16x=180+20x ; x=10
140 plus 16 x equals 180 plus 20 x ; x equals 10
180+16x=140+20x ; x=−10
Help
To solve for when the two machines will have the same amount of ice cream left, you need to set the equations for the two machines' ice cream capacity equal to each other.
Let's call the number of days elapsed since the start of ice cream sales x.
For the vanilla ice cream machine:
180 - 20x
For the chocolate ice cream machine:
140 - 16x
Setting these two equations equal to each other gives:
180 - 20x = 140 - 16x
Now, we can solve for x:
180 - 140 = 20x - 16x
40 = 4x
x = 40/4
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.
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
180−20x=140−16x ; x=10
180 minus 20 x equals 140 minus 16 x ; x equals 10
140+16x=180+20x ; x=10
140 plus 16 x equals 180 plus 20 x ; x equals 10
180+16x=140+20x ; x=−10
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 this equation, you want to isolate the variable x. First, combine like terms:
-20x + 16x = 140 - 180
Simplifying further:
-4x = -40
Divide both sides by -4:
x = 10
After 10 days, the vanilla and chocolate ice cream machines will have the same amount of ice cream left.
The correct equation to represent when the two machines will have the same amount of ice cream left is:
180 - 20x = 140 - 16x
To solve for x, we can start by simplifying the equation:
180 - 20x = 140 - 16x
Combine like terms:
-20x + 16x = 140 - 180
-4x = -40
Divide both sides by -4 to isolate x:
x = -40 / -4
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.