Two pumps are filling large vats of liquid. One wat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other is already filled with 10 gallons, and it 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.
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7 answers
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 it would take for the two plans to be equal. Use x as your variable.
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8x = 40 + 2x
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 and equation to show when the two machines will have the same amount of milkshake left. Use x as your variable.
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300 - 15x = 280 - 20x
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 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.
They will have the same amount of liquid after __ minutes.
To find when the two vats will have the same amount of liquid, we need to set up an equation.
Let x be the number of minutes it takes for the two vats to have the same amount of liquid.
The amount of liquid in the empty vat after x minutes will be 6x (since it is being filled at a rate of 6 gallons per minute).
The amount of liquid in the vat with 28 gallons after x minutes will be 28 + 4x (since it is already filled with 28 gallons and is being filled at a rate of 4 gallons per minute).
Setting these two expressions equal, we have:
6x = 28 + 4x
Simplifying the equation, we get:
2x = 28
Dividing both sides by 2, we find:
x = 14
Therefore, the two vats will have the same amount of liquid after 14 minutes.
Let x be the number of minutes it takes for the two vats to have the same amount of liquid.
The amount of liquid in the empty vat after x minutes will be 6x (since it is being filled at a rate of 6 gallons per minute).
The amount of liquid in the vat with 28 gallons after x minutes will be 28 + 4x (since it is already filled with 28 gallons and is being filled at a rate of 4 gallons per minute).
Setting these two expressions equal, we have:
6x = 28 + 4x
Simplifying the equation, we get:
2x = 28
Dividing both sides by 2, we find:
x = 14
Therefore, the two vats will have the same amount of liquid after 14 minutes.
1 answer