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)
0 140 + 16x = 180 + 202
x = 10
0180 + 162 = 140 + 202
;X = -10
180 - 20x = 140 - 16x
Let x represent the number of days that have passed.
The amount of vanilla ice cream left after x days can be represented by 180 - 20x.
The amount of chocolate ice cream left after x days can be represented by 140 - 16x.
To find when the two machines will have the same amount of ice cream left, we set these two expressions equal to each other and solve for x:
180 - 20x = 140 - 16x
Combining like terms, we get:
-20x + 16x = 140 - 180
-4x = -40
Dividing both sides by -4, we get:
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.