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

Answer 1

300 - 15x = 280 - 20x

Answer 2

two pumps are filling large vats of liquid. one vat is empty, and the pump is filling at a rate of 6 gallons per minute. the other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute, when will the two vats have the same amount of liquid? they will have the same amount of liquid after __ minutes.

Answer 3

Let x be the number of minutes it takes for the two vats to have the same amount of liquid.

For the first vat:
Amount of liquid = 6x gallons

For the second vat:
Amount of liquid = 28 + 4x gallons

Setting these two amounts equal to each other:
6x = 28 + 4x

Now, solve for x:

6x - 4x = 28
2x = 28
x = 28 / 2
x = 14

It will take 14 minutes for the two vats to have the same amount of liquid.