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Percent - XYZ Custom Plus

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316Chapter 5 <strong>Percent</strong>SolutionTo solve this problem, we must write the question in the form of oneof the three basic percent problems shown in Examples 1–6. Because there are 90calories from fat and a total of 150 calories, we can write the question this way:90 is what percent of 150?Now that we have written the question in the form of one of the basic percentproblems, we simply translate it into an equation. Then we solve the equation.90 is what percent of 150?g gg90 = n ⋅ 150​_90150 ​= nn = 0.60 = 60%m8888888m8888888The number of calories from fat in this package of ice cream is 60% of the totalnumber of calories. Thus the ADA would not consider this to be a healthy food.CSolving <strong>Percent</strong> Problems Using ProportionsWe can look at percent problems in terms of proportions also. For example, weknow that 24% is the same as ​_24100 ​, which reduces to ​6 _​. That is25​_24100 ​ = ​6 _25 ​h{24 is to 100 as 6 is to 25hWe can illustrate this visually with boxes of proportional lengths:h{24610025In general, we say_ <strong>Percent</strong>100 ​ = ​Amount _Base​hh{<strong>Percent</strong> is to 100 as Amount is to Baseh{Answers7. 15.6% of the calories are fromfat. (So far as fat content isconcerned, the frozen yogurt isa healthier choice than the icecream.)

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