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5.3 Problem Set325Problem Set 5.3A Solve each of the following problems by first restating it as one of the three basic percent problems of Section 5.2. Ineach case, be sure to show the equation. [Examples 1–4]1. Test Scores On a 120-question test a student answered84 correctly. What percent of the problems did the studentwork correctly?70%2. Test Scores An engineering student answered 81 questionscorrectly on a 90-question trigonometry test. Whatpercent of the questions did she answer correctly? Whatpercent were answered incorrectly?90% correct; 10% incorrect3. Basketball A basketball player made 63 out of 75 freethrows. What percent is this?84%4. Family Budget A family spends $450 every month onfood. If the family’s income each month is $1,800, whatpercent of the family’s income is spent on food?25%5. Chemistry How much HCl (hydrochloric acid) is in a60-milliliter bottle that is marked 75% HCl?45mL6. Chemistry How much acetic acid is in a 5-liter containerof acetic acid and water that is marked 80% acetic acid?How much is water?4 liters acetic acid; 1 liter water7. Farming A farmer owns 28 acres of land. Of the 28acres, only 65% can be farmed. How many acres areavailable for farming? How many are not available forfarming?18.2 acres for farming; 9.8 acres are not available for farming8. Number of Students Of the 420 students enrolled in abasic math class, only 30% are first-year students. Howmany are first-year students? How many are not?126 are first-year students; 294 are not9. Determining a Tip Servers and wait staff are often paidminimum wage and depend on tips for much of theirincome. It is common for tips to be 15% to 20% of thebill. After dinner at a local restaurant the total bill is$56.00. Since your service was above average youdecide to give a 20% tip. Determine the amount of thetip you leave for your server.$11.2010. Determining a Tip Suppose you decide to leave a 15% tipfor services after your dinner out in the preceding problem.How much of a tip did you leave your server? Howmuch smaller was the tip?$8.40; $2.80 less11. Voting In the 2004 Presidential election, George Bushreceived 53.25% of the total electoral votes and JohnKerry received 46.75% of the total electoral votes. Ifthere were 537 total votes cast by the Electoral Collegehow many electoral votes did each candidate receive?Round to the nearest vote.Bush 286; Kerry 25112. Census Data According to the U.S. Census Bureau,national population estimates grouped by age andgender for July, 2006, approximately 7.4% of the147,512,152 males in our population are between theages of 15 and 19 years old. How many males are in thisage group? Round to the nearest person.10,915,899

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