two pumps are filling large vats of liquid one vat is empty and the pump is filling it at a rate of 6 gallons per minute the other vat already contains 10 gallons and is continuing to fill at a rate of 4 gallons per minute. write an equation to show when the two vats will have an equal amount of liquid. use x as your variable.

6x = 10 + 4x

A yoga studio has two participation plans. for the first plan, the cost is $8 per visit. for the second plan, the cost is $40 per month, and $2 per visit. write an equation to show the number of visits per month that is would take for the two plans to be equal. use x as your variable.

8x = 40 + 2x

A diner makes vanilla milkshakes and chocolate milkshakes. the vanilla milkshake machine has a 300-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.

that was incorrect

300 - 20x = x

Apologies for the mistake. The correct equation should be:

300 - 20x = 300 - x

This equation represents the situation when both machines have the same amount of milkshake left, as they start with 300 cups of capacity.