Problem Solving With Proportions

We are trying to get our unknown number, x, on the left side of the equation, all by itself.

When we talk about the speed of a car or an airplane we measure it in miles per hour. A ratio is a way to compare two quantities by using division as in miles per hour where we compare miles and hours.

A ratio can be written in three different ways and all are read as "the ratio of x to y" $$x\: to\: y$$ $$x:y$$ $$\frac$$ A proportion on the other hand is an equation that says that two ratios are equivalent.

will help you set up and solve proportions that represent everyday, real-life situations involving integers and fractions.

Each math worksheet is accompanied by an answer key, is printable, and can be customized to fit your needs. worksheets will help students meet Common Core Standards for Expressions & Equations as well as Ratios & Proportional Relationships.

The same mathematics applies when we wish to enlarge.

Depicting something in the scale of 2:1 all measurements then become twice as large as in reality.

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$$\frac=\frac\: \: or\: \: \frac=\frac$$ If we write the unknown number in the nominator then we can solve this as any other equation $$\frac=\frac$$ Multiply both sides with 100 $$\, \frac=\, \frac$$ $$x=\frac$$ $$x=10$$ If the unknown number is in the denominator we can use another method that involves the cross product.

The cross product is the product of the numerator of one of the ratios and the denominator of the second ratio.

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Comments Problem Solving With Proportions

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    Using Proportions to Solve Percents. A percent is actually a ratio! Saying "25%" is actually saying "25 per 100" 25% = 25100. We can use proportions to solve questions involving percents. The trick is to put what we know into this form PartWhole = Percent100…

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