Section 2.2 Introduction to Applications 71 28. Marcus invests a total of $10,000 in Trust Bank and Towne Bank. The amount he invests in Trust Bank is $600 less than a third of the amount he invests in Town Bank. How much does Marcus invest in each bank? 29. Emily invests a total of $5400 in PNC Bank and Wachovia Bank. The amount she invests in PNC Bank is $300 more than half of the amount she invests in Wachovia Bank. How much does Emily invest in each bank? 30. Charles invests a total of $15,000 in People’s Bank and Community Bank. The amount he invests in People’s Bank is $1200 less than twice the amount he invests in Community Bank. How much does Charles invest in each bank? 31. In the 2008 U.S. presidential election, Senator John McCain earned approximately 20 electoral votes less than half the number of electoral votes earned by President Barack Obama. If Senator McCain earned 162 electoral votes, how many electoral votes were earned by President Obama? (Source: The Washington Post) 32. According to the 2008 U.S. presidential election campaign finance report, the amount spent on Obama’s campaign was $57 million less than three times the amount spent on McCain’s campaign. If the amount spent on Obama’s campaign was $594 million, how much was spent on McCain’s campaign? (Source: http://elections.nytimes.com/2008/ president/campaign-finance) 33. The number of calories burned while watching television for an hour is 8 calories less than one-fourth the number of calories burned while mowing a lawn for an hour. If 72 calories are burned while watching television for an hour, find the number of calories burned from mowing a lawn for an hour. (Source: www.cancer.org) 34. The number of calories burned while sleeping for an hour is 54 calories less than one-third the number of calories burned when walking briskly for an hour. If 45 calories are burned while sleeping for an hour, find the number of calories burned from walking briskly for an hour. (Source: www.cancer.org) You Be the Teacher! Answer each student’s question. 35. Ian: I am trying to write the mathematical equation for the sentence, “Five less than a number is 15.” I think the answer should be n - 5 = 15, but it seems like 5 - n = 15 could be correct, too. Which is right, and why? 36. Terrell: My teacher said that the sentence, “Ten more than a number is 20,” can be expressed as x + 10 = 20 or 10 + x = 20. Does this mean that the sentence, “Ten less than a number is 20” can be expressed as x - 10 = 20 or 10 - x = 20? Think About It! 37. Suppose you have 15 quarters and 20 dimes. Write a word problem that would provide these values as its solution. (See Example 1c.) 38. Suppose you have 30 nickels and 10 quarters. Write a word problem that would provide these values as its solution. (See Example 1c.)
hendricks_intermediate_algebra_1e_ch1_3
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