# Solving Word Problems With Percentages

RELATED TEAS NUMBERS & ALGEBRA CONTENT: Alene Burke RN, MSN is a nationally recognized nursing educator.

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00% = x : $5.39 1/2 x$5.39 = $5.29/2 =$2.70 rounded off to the nearest penny OR 0.5 x $5.39 =$2.70 rounded off to the nearest penny OR 50% : !

00% = x : $5.39 50/100 = x /$5.39 x=$2.70 rounded off to the nearest penny In this example, you have paid$2.70 per box of cereal and you have also saved \$2.69 per box of cereal.

$$a=r\cdot b$$ $$47\%=0.47a$$ $$=0.47\cdot 34$$ $$a=15.98\approx 16$$ 16 of the students wear either glasses or contacts.

We often get reports about how much something has increased or decreased as a percent of change.

Example 4: Calculating Problems Involving Percentages When your weight goal is to lose 5% of your weight every 6 months, how much weight should you lose every 6 months when your weight is as follows: 5/100 x 65 kg OR 0.05 x 65 kg OR 5% : 100% = x : 65 kg 5/100 OR 1/20 x 65 kg = 3.25 kg OR 0.05 x 65 kg = 3.25 kg OR 5% : 100% = x : 65 kg 5/100 = x/65 x = 3.25 kg In this example, you should lose 3.25 kg every 6 months.

Example 5: Calculating Problems Involving Percentages When your weight goal is to lose 5% of your weight every 6 months, how much weight should you lose every 6 months when your weight is as follows: 5/100 x 89 kg OR 0.05 x 89 kg OR 5% : 100% = x : 89 kg 5/100 OR 1/20 x 89 kg = 4.45 kg OR 0.05 x 89 kg = 4.45 kg OR 5% : 100% = x : 89 kg 5/100 = x/89 x = 4.45 kg In this example, you should lose 4.45 kg every 6 months.." If any two of the variables are given, you can use algebra to find out the missing one. In each one, the unknown is in a different position.To solve problems with percent we use the percent proportion shown in "Proportions and percent".Example 2: Calculating Problems Involving Percentages You will be purchasing each of these shirts during the 30% off sale.How much will you save with the purchase of these 4 shirts?She worked as a registered nurse in the critical care area of a local community hospital and, at this time, she was committed to become a nursing educator.She got her bachelor’s of science in nursing with Excelsior College, a part of the New York State University and immediately upon graduation she began graduate school at Adelphi University on Long Island, New York.Some examples of percentages less than 100% that are less than 1 and less than the whole are: Percentages have equivalents in terms of a fraction, a decimal point number and as a ratio.You may have noticed a pattern in the chart above suggesting how to convert among fractions, decimals and percentages.The percent of change tells us how much something has changed in comparison to the original number.There are two different methods that we can use to find the percent of change.

## Comments Solving Word Problems With Percentages

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