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 lef
Let x be the number of days it takes for the two machines to have the same amount of ice cream left.
The vanilla machine has (180 - 20x) cups of ice cream left after x days, and the chocolate machine has (140 - 16x) cups left after x days.
The equation to solve for x is:
180 - 20x = 140 - 16x
Add 20x to both sides of the equation:
180 = 140 + 4x
Subtract 140 from both sides of the equation:
40 = 4x
Divide both sides by 4:
x = 10
It will take 10 days for the two machines to have the same amount of ice cream left.