Using Formulas To Solve Problems

Using Formulas To Solve Problems-49
In this case, there are three people so the equation becomes: Step 2: Solve the equation created in the first step.

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In this case, as the numbers used are 60 & 40, let the work be equal to 120 units.

That implies A does 120/60 = 2 units a day, whereas B alone does 120/40 = 3 units a day.

Let me draw a triangle just so we know what b and h are. So the formula is area is equal to 1/2 base times height. We essentially want to isolate the h on one side of the equation. So let's get rid of everything else on the right-hand side. So the best way to get rid of a 1/2 that's being multiplied by h is if we multiply both sides of the equation by its reciprocal.

So we can do it-- well, I'll do it one step at a time. If we multiply both sides of the equation by 2/1 or by 2. So let's multiply-- remember anything you do to one side of the equation, you also have to do to the other side of the equation. Well, the whole point behind multiplying by 2 is 2 times 1/2 is 1. If someone just gave you a bunch of areas and a bunch of base lengths, and they said keep giving me the height for those values, or for those triangles.

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 3 – One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.

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How long would it take to fill the pool if both pipes were accidentally left open?

The formula for the area of a triangle is A is equal to 1/2 b times h, where A is equal to area, b is equal to length of the base, and h is equal to the length of the height. That is the height of the triangle-- let me do that at a lower case h because that's how we wrote it in the formula.

So area is equal to 1/2 times the length of the base times the length of the height. So just to visualize this a little bit, let me draw a triangle here. Now, they want us to solve this formula for the height.

How long would it take to paint the house if they worked together?

Step 2: Solve the equation created in the first step.

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