31. Alex and Sam also build tables. Together they make 34 tables in 12 days. Alex working alone can make 46 tables in 30 days. How many days would it take Sam working alone to make 46 tables? (Record your answer in days rounded to one decimal place. For example, if the answer you find is 4.2835 days, record 4.3). 32. A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a flat fee of $200, plus $1 for every pot that is delivered safely. The moving company must pay the florist $4 each for any pots that are lost or broken. If two pots are lost, four pots are broken, and the rest are delivered safely, how much should the moving company be paid? 33. The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. There are four fewer tuba players than there are trombone players, but three more members play the French horn than play the trombone. The band director, his assistant, and six parent volunteers are also going. How many seats are needed on the bus? 34. Jenna is training hard to qualify for the National Games. She has a regular weekly routine, training for five hours a day on some days and 3 hours a day on the other days. She trains altogether 27 hours in a seven-day week. On how many days does she train for five hours? 35. A train leaves Rock City at an average speed of 50 miles per hour and heads for Gnome City. Another train leaves Gnome City at an average speed of 40 miles per hour and heads for Rock City. If the route is 360 miles long, how many hours will it take for the 2 trains to meet? 36. Alicia was paid $125 for babysitting five days after school for the Smith family. Each day Mrs. Smith paid her $3 more than the day before. How much money did she earn on the first day? 37. Anthony's age plus the cube of Collin's age is 1,739. Collin's age plus the cube of Anthony's age is 1,343. How old are Collin and Anthony? 38. Imani carned grades of 95, 87, and 83 on the first 3 exams in the class. Each of these exams is worth 20 percent of the total grade in the class and the Final Exam is worth 40 percent of the class grade (there is no "extra credit" possible and these are the only graded assignments in the class). What grade must Imani earn on the final exam to achieve a final course average of 93 (which will guarantee that she gets a letter grade of A in the class)? 5
