56 Chapter 1 Whole Numbers Concept 5: Translations and Applications Involving Division For Exercises 87–92, for each English sentence, write a mathematical expression and simplify. 87. Find the quotient of 497 and 71. 88. Find the quotient of 1890 and 45. 89. Divide 877 by 14. 90. Divide 722 by 53. 91. Divide 6 into 42. 92. Divide 9 into 108. 93. There are 392 students signed up for Anatomy 101. If each classroom can hold 28 students, find the number of classrooms needed. (See Example 8.) 94. A wedding reception is planned to take place in the fellowship hall of a church. The bride anticipates 120 guests, and each table will seat 8 people. How many tables should be set up for the reception to accommodate all the guests? 95. A case of tomato sauce contains 32 cans. If a grocer has 168 cans, how many cases can he fill completely? How many cans will be left over? 96. Austin has $425 to spend on dining room chairs. If each chair costs $52, does he have enough to purchase 8 chairs? If so, will he have any money left over? 97. At one time, Seminole State College had 3000 students who registered for Beginning Algebra. If the average class size is 25 students, how many Beginning Algebra classes will the college have to offer? Ticket Prices Type of Seats Price ($) 50 40 30 20 10 0 45 35 25 Orchestra First Balcony Second Balcony 98. Eight people are to share equally in an inheritance of $84,480. How much money will each person receive? 100. A couple traveled at an average speed of 52 mph for a cross-country trip. If the couple drove 1352 mi, how many hours was the trip? 99. A hybrid automobile gets 45 mpg in stop-and-go traffic. How many gallons will it use in 405 mi of stop-and-go driving? 102. On a trip to California from Illinois, Lavu drove 2780 mi. The gas tank in his car allows him to travel 405 mi. Round each number to the hundreds place to estimate the number of tanks of gas needed for the trip. 101. Suppose Genny can type 1234 words in 22 min. Round each number to estimate her rate in words per minute. 103. A group of 18 people goes to a concert. Ticket 104. The graph gives the average annual starting salary prices are given in the graph. If the group has for four professions: teacher, professor, CEO, and $450, can they all attend the concert? If so, programmer. Find the monthly income for each of which type of seats can they buy? (See Example 9.) the four professions. Annual Starting Salary by Profession Profession Annual Income ($) 140,000 120,000 100,000 80,000 60,000 40,000 20,000 0 36,000 60,000 120,000 48,000 Teacher Professor CEO Programmer
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