Algebra Word Problems

9. City Cabs charges a $2.25 pickup fee and $1.50 per mile traveled. Diego's fare for a cross-town cab ride is $24.75. How far did he travel in the cab? 10. A book contains the following recommended weight for kangaroo: "Give the kangaroo 140 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, what height corresponds to a recommended weight of 155 pounds? 11. A banana peel weighs V . of the total weight of a banana. If an unpeeled banana balances a peeled banana of the same weight, plus 6 7 of an ounce, how much does the banana weigh with the peel? 12. At the north campus of a performing arts school, 10% of the students are music majors. At the south campus, 90% of the students are music majors. The campuses are merged into one east campus. If 26% of the 1000 students at the east campus are music majors, how many students did the north and south campuses have before the merger? 13. Three friends got the prize money worth $78,000. The first friend would get three times the amount of the third friend's portion. The third friend would get three times the amount of the second friend's portion. Determine the amount that each friend would receive. 14. On two examinations, you have grades of 83 and 89. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of A, meaning a final average of at least 90. a. What must you get on the final to earn an A in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than 80, you will lose your B in the course. Describe the grades on the final that will cause this to happen. 15. A truck can be rented from Company A for $110 a day plus $0.40 per mile. Company B charges $50 a day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A a better deal than Company B's