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. Use x as your variable.
Let's say "V" represents the amount of vanilla milkshakes left in the machine and "C" represents the amount of chocolate milkshakes left in the machine.
The vanilla milkshake machine has a capacity of 300 cups, so the equation for vanilla milkshakes left is:
V = 300 - 15x (since it sells 15 cups per day)
The chocolate milkshake machine has a capacity of 280 cups, so the equation for chocolate milkshakes left is:
C = 280 - 20x (since it sells 20 cups per day)
To find when the two machines will have the same amount of milkshake left, we need to find the value of x that makes V equal to C:
300 - 15x = 280 - 20x
Now, we can solve for x