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)%0D%0AResponses%0D%0A%0D%0A140+16x=180+20x ; x=10%0D%0A140 plus 16 x equals 180 plus 20 x ; x equals 10%0D%0A%0D%0A180−20x=140−16x ; x=20%0D%0A180 minus 20 x equals 140 minus 16 x ; x equals 20%0D%0A%0D%0A180−20x=140−16x ; x=10%0D%0A180 minus 20 x equals 140 minus 16 x ; x equals 10%0D%0A%0D%0A180+16x=140+20x ; x=−10%0D%0A180 plus 16 x equals 140 plus 20 x ; x equals negative 10%0D%0ASkip to navigation%0D%0AHighlight
3 answers
180 - 20x = 140 - 16x
To solve for x, we can combine like terms and isolate the variable:
-20x + 16x = 140 - 180
-4x = -40
Dividing both sides of the equation by -4, we get:
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.
180 + 16x = 140 + 20x
To solve for x, we can subtract 16x from both sides and subtract 140 from both sides:
180 - 140 = 20x - 16x
40 = 4x
Dividing both sides of the equation by 4, we get:
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.