Percent - XYZ Custom Plus

328Chapter 5 PercentMaintaining Your SkillsThe problems below review multiplication with fractions and mixed numbers.Multiply.39. ​_1 2 ​⋅ ​2 _5 ​40. ​_3 4 ​⋅ ​1 _3 ​41. ​_3 4 ​⋅ ​5 _9 ​42. ​_5 6​_1 5 ​ ​_ 1 4 ​ ​_ 512 ​​_ 1013 ​​⋅ ​12_13 ​43. 2 ⋅ ​_3 8 ​44. 3 ⋅ ​_512 ​45. 1​_1 4 ​⋅ ​8 _15 ​46. 2​_1 3 ​⋅ ​9 _10 ​​_3 4 ​ ​_ 5 4 ​ ​_ 2 3 ​ 2​_ 110 ​Extending the Concepts: Batting AveragesBatting averages in baseball are given as decimal numbers, rounded to the nearest thousandth.For example, at the end of June 2008, Milton Bradley had the highest batting average in theAmerican League. At that time, he had 76 hits in 235 times at bat. His batting average was .323,which is found by dividing the number of hits by the number of times he was at bat and thenrounding to the nearest thousandth.number of hitsBatting average = ​___​= ​76_​= 0.323number of times at bat 235Because we can write any decimal number as a percent, we can convert batting averages topercents and use our knowledge of percent to solve problems. Looking at Milton Bradley’s battingaverage as a percent, we can say that he will get a hit 32.3% of the times he is at bat.Each of the following problems can be solved by converting batting averages to percents andtranslating the problem into one of our three basic percent problems. (All numbers are fromthe end of June 2008.)47. Chipper Jones had the highest batting average in theNational League with 100 hits in 254 times at bat.What percent of the time Chipper Jones is at bat canwe expect him to get a hit?39.4%, to the nearest tenth of a percent48. Sammy Sosa had 104 hits in 412 times at bat. What percentof the time can we expect Sosa to get a hit?25.2%, to the nearest tenth of a percent49. Barry Bonds was batting .276. If he had been at bat340 times, how many hits did he have? (Rememberhis batting average has been rounded to the nearestthousandth.)94 hits50. Joe Mauer was batting .321. If he had been at bat265 times, how many hits did he have? (Remember,his batting average has been rounded to the nearestthousandth.)85 hits51. How many hits must Milton Bradley have in his next50 times at bat to maintain a batting average of atleast .323?At least 16 hitsProblems 51 and 52 are easiest to solve if students think in terms ofcumulative batting average instead of the batting average for the next50 times at bat.52. How many hits must Chipper Jones have in his next 50times at bat to maintain a batting average of at least.394?At least 20 hits