An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has 180 cup capacity and it sells 20 cups per day with chocolate ice cream machine has 140 cup capacity and it sells 16 cups per day right in solving equation to show when the two machines will have the same amount of ice cream left.
Let x be the number of days.
The amount of vanilla ice cream left after x days is 180 - 20x.
The amount of chocolate 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 can set the two equations 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, after 10 days, the two machines will have the same amount of ice cream left.
To solve this problem, we need to set up an equation to represent the ice cream remaining in each machine.
Let's assume x represents the number of days.
For the vanilla ice cream machine:
Total ice cream capacity = 180 cups
Daily sales = 20 cups/day
Ice cream remaining = 180 - 20x
For the chocolate ice cream machine:
Total ice cream capacity = 140 cups
Daily sales = 16 cups/day
Ice cream remaining = 140 - 16x
To find when the two machines will have the same amount of ice cream left, we can set up the following equation:
180 - 20x = 140 - 16x
Simplifying the equation:
180 - 140 = 20x - 16x
40 = 4x
x = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.
To find out when the two machines will have the same amount of ice cream left, we need to set up an equation based on the information given.
Let's denote the number of days as 'd', the remaining number of cups of vanilla ice cream as 'v', and the remaining number of cups of chocolate ice cream as 'c'.
Based on the information given in the question, we know:
The initial number of cups of vanilla ice cream (v) is 180.
The initial number of cups of chocolate ice cream (c) is 140.
The number of cups of vanilla ice cream sold per day is 20.
The number of cups of chocolate ice cream sold per day is 16.
Since the ice cream is being sold each day, we can calculate the remaining amount of ice cream by subtracting the number of cups sold per day multiplied by the number of days from the initial amount.
Hence, the equation for the remaining cups of vanilla ice cream is:
v = 180 - 20d
And the equation for the remaining cups of chocolate ice cream is:
c = 140 - 16d
To find out when the two machines will have the same amount of ice cream left, we set the equations equal to each other:
180 - 20d = 140 - 16d
Solving this equation will give us the value of 'd' when both machines will have the same amount of ice cream left.
Let's simplify the equation:
180 - 20d = 140 - 16d
Combine like terms:
-20d + 16d = 140 - 180
-4d = -40
Divide both sides by -4:
d = (-40)/(-4)
d = 10
Therefore, the two machines will have the same amount of ice cream left after 10 days.