66 Chapter 1 Linear Equations and Inequalities in One Variable 11. If t represents a number, write an expression for 7 less than twice the number. 21. Three times the smaller of two consecutive even integers is the same as 146 minus 4 times the larger integer. Find the integers. 22. Four times the smaller of two consecutive odd integers is the same as 73 less than 5 times the larger. Find the integers. 23. Two times the sum of three consecutive odd integers is the same as 23 more than 5 times the largest integer. Find the integers. Concept 3: Applications Involving Percents and Rates 25. Belle had the choice of taking out a 4-yr car loan at 8.5% simple interest or a 5-yr car loan at 7.75% simple interest. If she borrows $15,000, how much interest would she pay for each loan? Which option will require less interest? (See Example 3.) 26. Robert can take out a 3-yr loan at 8% simple 12 interest or a 2-yr loan at 8 % simple interest. If he borrows $7000, how much interest will he pay for each loan? Which option will require less interest? 27. An account executive earns $600 per month plus a 3% commission on sales.The executive’s goal is to earn $2400 this month. How much must she sell to achieve this goal? 28. A salesperson earns $50 a day plus 12% commission on sales over $200. If her daily earnings are $76.88, how much money in merchandise did she sell? 29. J.W. is an artist and sells his pottery each year at a local Renaissance Festival. He keeps track of his sales and the 8.05% sales tax he collects by making notations in a ledger. Every evening he checks his records by counting the total money in his cash drawer. After a day of selling pottery, the cash totaled $1293.38. How much is from the sale of merchandise and how much is sales tax? 30. Wayne County has a sales tax rate of 7%. How much does Mike’s used Honda Civic cost before tax if the total cost of the car plus tax is $13,888.60? 31. The price of a swimsuit after a 20% markup is $43.08.What was the price before the markup? (See Example 4.) 32. The price of a used textbook after a 35% markdown is $29.25.What was the original price? 24. Five times the smallest of three consecutive even integers is 10 more than twice the largest. Find the integers. 19. The sum of two consecutive odd integers is 148. Find the two integers. 20. The sum of three consecutive integers is 57. Find the integers. 17. The sum of two consecutive page numbers in a book is 223. Find the page numbers. (See Example 2.) 18. The sum of the numbers on two consecutive raffle tickets is 808,455. Find the numbers on the tickets. Concept 2: Applications Involving Consecutive Integers 12. If y represents a number, write an expression for 4 more than 3 times the number. 13. The larger of two numbers is 3 more than twice the smaller. The difference of the larger number and the smaller number is 8. Find the numbers. (See Example 1.) 14. One number is 3 less than another.Their sum is 15. Find the numbers. 15. The sum of 3 times a number and 2 is the same as the difference of the number and 4. Find the number. 16. Twice the sum of a number and 3 is the same as 1 subtracted from the number. Find the number.
miller_intermediate_algebra_4e_ch1_3
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