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
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
180−20x=140−16x ; x=20
180 minus 20 x equals 140 minus 16 x, ; , x equals 20
The correct equation is 180 - 20x = 140 - 16x, where x represents the number of days.
Simplifying the equation, we get:
4x = 40
Solving for x, we get:
x = 10
Therefore, 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
Solving this equation, we get:
180 - 140 = 20x - 16x
40 = 4x
Dividing both sides by 4:
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 an equation. Let's use the variable x to represent the number of days.
For the vanilla ice cream machine, it has a starting capacity of 180 cups and sells 20 cups per day. So the amount of ice cream left after x days is 180 - 20x.
For the chocolate ice cream machine, it has a starting capacity of 140 cups and sells 16 cups per day. So the amount of ice cream left after x days is 140 - 16x.
To find when the two machines will have the same amount of ice cream left, we need to set these two expressions equal to each other:
180 - 20x = 140 - 16x
Now, let's solve for x. We can do this by combining like terms:
-20x + 16x = 140 - 180
-4x = -40
Divide both sides of the equation by -4 to isolate x:
x = -40 / -4
Simplifying, we get:
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.