A diner makes vanilla milkshakes and chocolate milkshakes. The vanilla milkshake machine has a 300-cup capacity, and sells 15 cups per day. The chocolate milkshake machine has a 280-cup capacity, and sells 20 cups per day. Write an equation to show when the two machines will have the same amount of milkshake left.
To find out when the two machines will have the same amount of milkshake left, we need to set up an equation using the given information.
Let's assume the number of days left until both machines have the same amount of milkshake left is represented by 'x'.
For the vanilla milkshake machine:
The initial capacity of the vanilla milkshake machine is 300 cups.
The number of cups sold each day is 15.
So, the equation for the amount of milkshake left in the vanilla milkshake machine after 'x' days is: 300 - 15x.
For the chocolate milkshake machine:
The initial capacity of the chocolate milkshake machine is 280 cups.
The number of cups sold each day is 20.
So, the equation for the amount of milkshake left in the chocolate milkshake machine after 'x' days is: 280 - 20x.
Since we want to find the point in time when both machines have the same amount of milkshake left, we can set up the equation:
300 - 15x = 280 - 20x.
Simplifying the equation, we get:
20x - 15x = 300 - 280
5x = 20
x = 4.
Therefore, the two machines will have the same amount of milkshake left after 4 days.
Let's assume that after "x" days, the vanilla milkshake machine will have "V" cups left, and the chocolate milkshake machine will have "C" cups left.
The amount of vanilla milkshake left after "x" days can be calculated as:
V = 300 - 15x
The amount of chocolate milkshake left after "x" days can be calculated as:
C = 280 - 20x
To find when the two machines will have the same amount of milkshake left, we need to set V equal to C and solve for x:
300 - 15x = 280 - 20x
5x = 20
x = 4
Therefore, the two machines will have the same amount of milkshake left after 4 days.
Well, let's call the number of days it takes for the two machines to have the same amount of milkshake left "x".
So, we can start by calculating the total number of cups the vanilla milkshake machine will have left after x days. Since it sells 15 cups per day and has a capacity of 300 cups, the equation for this would be:
300 - 15x
Similarly, we can calculate the total number of cups the chocolate milkshake machine will have left after x days. Since it sells 20 cups per day and has a capacity of 280 cups, the equation for this would be:
280 - 20x
To find when the two machines will have the same amount of milkshake left, we set these two equations equal to each other:
300 - 15x = 280 - 20x
And now, let's solve this equation. But before we do that, did you hear about the mathematician who’s afraid of negative numbers? He will stop at nothing to avoid them!
Let's start by calculating the number of cups left in each machine after "x" days.
For the vanilla milkshake machine, the equation is:
Cups left in vanilla machine = 300 - 15x
For the chocolate milkshake machine, the equation is:
Cups left in chocolate machine = 280 - 20x
To find when the two machines will have the same amount of milkshake left, we can set the two equations equal to each other:
300 - 15x = 280 - 20x
Now, we can solve for "x" to determine when the two machines will have the same amount of milkshake left.