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) help
the answer= 300-15x=280-20x
Let's set up the equation.
The amount of vanilla milkshakes left after x days can be represented as 300 - 15x.
The amount of chocolate milkshakes left after x days can be represented as 280 - 20x.
To find when the two machines will have the same amount of milkshake left, we can set these two expressions equal to each other:
300 - 15x = 280 - 20x
Now you can solve for x to determine when the two machines will have the same amount of milkshake left.
Let's assume the number of days that have passed is represented by variable x.
For the vanilla milkshake machine, the number of cups left after x days can be represented by the equation: 300 - 15x
For the chocolate milkshake machine, the number of cups left after x days can be represented by the equation: 280 - 20x
To find when the two machines will have the same amount of milkshake left, we need to set the two equations equal to each other:
300 - 15x = 280 - 20x
Now, you can solve this equation for x to find when the two machines will have the same amount of milkshake left.
answer completly
To solve the equation 300 - 15x = 280 - 20x, we can rearrange the equation to isolate the variable x:
300 - 280 = 20x - 15x
20x - 15x = 300 - 280
5x = 20
Dividing both sides of the equation by 5:
5x/5 = 20/5
x = 4
Therefore, the two machines will have the same amount of milkshake left after 4 days.
wrong
I apologize for the mistake. Let me correct it.
To solve the equation 300 - 15x = 280 - 20x, we can rearrange the equation to isolate the variable x:
300 - 280 = -20x + 15x
20 = 5x
Dividing both sides of the equation by 5:
20/5 = 5x/5
4 = x
Therefore, the two machines will have the same amount of milkshake left after 4 days.
To determine when the vanilla milkshake machine and the chocolate milkshake machine will have the same amount of milkshake left, we can set up an equation based on their respective capacities and daily sales.
Let's assume "x" represents the number of days.
For the vanilla milkshake machine, the amount of milkshake left after "x" days can be calculated as:
300 (initial capacity) - 15 (number of cups sold per day)x
Similarly, for the chocolate milkshake machine, the amount of milkshake left after "x" days can be calculated as:
280 (initial capacity) - 20 (number of cups sold per day)x
To find when the two machines will have the same amount of milkshake left, we can set up the following equation:
300 - 15x = 280 - 20x
We subtract the amount of milkshake sold per day multiplied by the number of days from the initial capacity, and set them equal to each other.
Simplifying the equation:
300 - 280 = -5x + 6x
20 = x
Therefore, the two machines will have the same amount of milkshake left after 20 days.