164 Chapter 2 Linear Equations and Inequalities in One Variable 40. Mohammad goes on a leisurely drive on a beautiful day. He leaves his home traveling at an average rate of 55 mph. He travels until he is tired and stops for lunch. After lunch, he decides to drive back home. He travels back home at an average speed of 65 mph. If his total driving time is 4 hr, how long did he drive each way? What is the total distance he traveled? 41. Sheree leaves her job and heads east at 55 mph. One hr later, Janis leaves the same workplace and heads east at 75 mph. How long will it take Janis to catch Sheree? 42. A plane leaves Atlanta heading to San Francisco at 9 a.m. traveling at 400 mph. Another plane leaves Atlanta heading to San Francisco at 10 a.m. the same day traveling at 550 mph. How long will it take for the second plane to catch up with the first? Mix ’Em Up! For each problem: (1) write an appropriate equation, (2) solve the equation, and (3) write the answer in complete sentences. 43. A 46-in. LED-LCD HDTV is on sale for $1220.99. This is 45% off the original price. What is the original selling price of the TV? 44. A 40-in. LCD-HDTV is on sale for $1614.99. This is 15% off the original price. What is the original selling price of the TV? 45. Lynette’s salary after her raise is $62,829. Prior to the raise, her salary was $58,300. What percent raise did she receive? 46. Tyrone’s salary after his raise is $51,450. Prior to the raise, his salary was $50,000. What percent raise did he receive? 47. A bank teller has a collection of $1 bills and $5 bills. He has seven more $1 bills than $5 bills. The value of his collection is $229. How many of each bill does he have? 48. A department store clerk has only $5 bills and $10 bills in her cash register. She has a total of 200 bills and the value of the collection is $1,565. How many of each bill does she have? Use the percentages from Oprah’s Debt Diet, to answer Exercises 49 and 50. Oprah’s Debt Diet Percentages Housing 35% Debt 15% Saving 10% Transportation 15% Other Living Expenses 25% Source: www.oprah.com 49. The Basils’ monthly income is $3000. According to the table, what should they spend on their debt each month? 50. The Morans’ monthly income is $1714.29. According to the table, what should they spend on their housing each month? 51. Jim invests $10,200 in two accounts. He invests $4850 in a mutual fund that pays 2.2% annual interest and the remaining amount in a money market fund that pays 3.3% annual interest. How much interest does he earn from the two accounts in 1 yr? 52. Adrianne invests $4250 in two accounts. She invests $1650 in a mutual fund that pays 1.1% annual interest and the remaining amount in a money market fund that pays 5.3% annual interest. How much interest does she earn from the two accounts in 1 yr? 53. Two planes leave Wittman Regional Airport in Oshkosh. One plane travels west at 355 mph and the other plane travels east at 340 mph. How long will it take for the planes to be 3683.5 mi apart? 54. Two cars leave the same town heading in opposite directions. One car travels at 69 mph and the other at 62 mph. How long will it take for the cars to be 275.1 mi apart? 55. A dairy farmer has two types of milk. How many gallons of a 2% milk fat solution and how many gallons of a 4.5% milk fat solution should be mixed to obtain 500 gal of a 2.9% milk fat solution? 56. Michael needs to make 243 L of a 58% alcohol solution. How much pure alcohol and how much 37% alcohol solution should be mixed together to obtain 243 L of a 58% alcohol solution? 57. Brandon and Kimberly live 320 mi apart. They leave their homes at the same time and drive toward one another until they meet. Brandon travels at 55 mph and Kimberly travels at 73 mph. How long will it take before they meet? 58. Karen and Evan live 416 mi apart. They leave their homes at the same time and drive towards one another until they meet. Karen travels at 68 mph and Evan travels at 62 mph. How long will it take before they meet? 59. John earns a $9100 bonus for the year. He invests part of this money in two accounts. One account is highly risky but earns 5.7% annual interest. The other account is less risky and earns 2.1% annual interest. If John earns a total of $367.50 in interest for the year, how much did he invest in each account? 60. Maria has $11,750 to invest. She invests part of her money in a stock that earns 2.9% annual dividends and the rest in a mutual fund account that pays 5.5% annual dividends. If Maria earns $553.95 in dividends for the year, how much did she invest in each account? 61. Kevin has a collection of dimes and quarters. He has 10 more dimes than quarters. If the collection is worth $98.30, how many dimes and quarters does he have?
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