XMA Equations in F

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LESSON &

Linear Equations in Real-World Scenarios

Linear Equations in Real-World Scenarios Practice Complete this assessment to review what you've learned. It will not count toward your grade.

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, 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 when the two vats will have an equal amount of liquid. Use x as your variable. (1 point)

2 answers

Let's set up the equation.

The first vat is being filled at a rate of 6 gallons per minute, so the amount of liquid in the first vat can be represented by 6x (since x represents the number of minutes).

The second vat already has 10 gallons and is being filled at a rate of 4 gallons per minute, so the amount of liquid in the second vat can be represented by 10 + 4x.

To find when the two vats will have an equal amount of liquid, we can set up the equation:

6x = 10 + 4x

Simplifying the equation, we get:

2x = 10

Dividing both sides by 2, we get:

x = 5

Therefore, the two vats will have an equal amount of liquid after 5 minutes.
ntent/che/onlinerlessonViewer responsive.aspatheader-trues idCourse=149085&idUnit 134147&idLesson-2966319&page 1

LESSON &

Linear Equations in Real-World Scenarios

Linear Equations in Real-World Scenarios Practice Complete this assessment to review what you've learned. It will not count toward your grade.

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, 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 when the two vats will have an equal amount of liquid. Use x as your variable. (1 point)
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