Question

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.(1 point)

Answer 1

To find out when the two machines will have the same amount of milkshake left, let's define \( x \) as the number of days since the milkshakes began being sold.

1. For the vanilla milkshake machine:
- Capacity: 300 cups
- Cups sold per day: 15 cups
- Amount left: \( 300 - 15x \)

2. For the chocolate milkshake machine:
- Capacity: 280 cups
- Cups sold per day: 20 cups
- Amount left: \( 280 - 20x \)

We want to find the value of \( x \) when the amount left in both machines is the same. Thus, we can set the two expressions equal to each other:

\[
300 - 15x = 280 - 20x
\]

This equation represents the scenario where both machines have the same amount of milkshake left.