*$0-150=90$$ Then we find out how many percent this change corresponds to when compared to the original number of students $$a=r\cdot b$$ $=r\cdot 150$$ $$\frac=r$$ $ $0-150=90$$ Then we find out how many percent this change corresponds to when compared to the original number of students $$a=r\cdot b$$ $=r\cdot 150$$ $$\frac=r$$ $ *

*To do this, think about the relationship between multiplication and division.The cross products of a proportion are always equal.If we want to check if two ratios form a proportion we can just check their cross products.The more money you put in your account, the more money you get in interest.It’s helpful to understand how these percents are calculated.Jeff has a coupon at the Guitar Store for 15% off any purchase of 0 or more.He wants to buy a used guitar that has a price tag of 0 on it.To find out how big of an increase we've got we subtract 1 from 1.6.A proportion is an equation that says that two or more ratios are equal.There are two different methods that we can use to find the percent of change.We begin by subtracting the smaller number (the old value) from the greater number (the new value) to find the amount of change.*

*Since we have a percent of change that is bigger than 1 we know that we have an increase.*

*.6=r= 60\%$$ We begin by finding the ratio between the old value (the original value) and the new value $$percent\:of\:change=\frac=\frac=1.6$$ As you might remember 100% = 1.Since we have a percent of change that is bigger than 1 we know that we have an increase.*.6=r= 60\%$$ We begin by finding the ratio between the old value (the original value) and the new value $$percent\:of\:change=\frac=\frac=1.6$$ As you might remember 100% = 1.[[ *$$240-150=90$$ Then we find out how many percent this change corresponds to when compared to the original number of students $$a=r\cdot b$$ $$90=r\cdot 150$$ $$\frac=r$$ $$0.6=r= 60\%$$ We begin by finding the ratio between the old value (the original value) and the new value $$percent\:of\:change=\frac=\frac=1.6$$ As you might remember 100% = 1.Since we have a percent of change that is bigger than 1 we know that we have an increase.* || *$$240-150=90$$ Then we find out how many percent this change corresponds to when compared to the original number of students $$a=r\cdot b$$ $$90=r\cdot 150$$ $$\frac=r$$ $$0.6=r= 60\%$$ We begin by finding the ratio between the old value (the original value) and the new value $$percent\:of\:change=\frac=\frac=1.6$$ As you might remember 100% = 1.*Since we have a percent of change that is bigger than 1 we know that we have an increase. ]]

For instance if one package of cookies contain 20 cookies that would mean that 2 packages contain 40 cookies $$\frac=\frac$$ A proportion is read as "x is to y as a is to b".

$$\frac=\frac$$ $$\frac\cdot =\frac\cdot y$$ $$x\cdot b=\frac\cdot y$$ $$xb=ay$$ The products xb and ay are called cross products.

$$\frac= \frac$$ $$\frac\cdot = \frac\cdot 8$$ $$2\cdot 100= \frac\cdot $$ $$\frac=\frac$$ $$x=25\%$$ This proportion is called the percent proportion.

$$\frac=\frac$$ Fractions, percent and decimals can all represent the same number, but they are expressed differently.

In the example of 5The amount is the number that relates to the percent. Once you have an equation, you can solve it and find the unknown value.

[[To do this, think about the relationship between multiplication and division.

The cross products of a proportion are always equal.

If we want to check if two ratios form a proportion we can just check their cross products.

The more money you put in your account, the more money you get in interest.

It’s helpful to understand how these percents are calculated.

||To do this, think about the relationship between multiplication and division.The cross products of a proportion are always equal.If we want to check if two ratios form a proportion we can just check their cross products.The more money you put in your account, the more money you get in interest.It’s helpful to understand how these percents are calculated.Jeff has a coupon at the Guitar Store for 15% off any purchase of $100 or more.He wants to buy a used guitar that has a price tag of $220 on it.To find out how big of an increase we've got we subtract 1 from 1.6.A proportion is an equation that says that two or more ratios are equal.There are two different methods that we can use to find the percent of change.We begin by subtracting the smaller number (the old value) from the greater number (the new value) to find the amount of change.

]]

## Comments How To Solve Percent Problems Using Proportions

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