71. There is a certain number whose third and fourth powers, taken together, exhibit all the digits from 0 to 9, each once and once only. Can you work out what the number is?
72. Arlene has found a cut-rate florist's shop where she can buy 6 poinsettias and 5 lilies for $61, or 5 poinsettias and 6 lilies for $60. How much will she have to pay for a dozen lilies?
73. What is the next number in the following sequence?
4 8 32 128 2,048 ?
74. Sally has twice as many sisters as she has brothers. Her brother Patrick has five more sisters than he has brothers. What is the least number of girls and boys in the immediate family that fits the above configuration?
75. John gets to spend the rest of his math class time in the library if he can solve the sequence below. Can you help him?
8, 61, 42, 23, 04, 84, ?
76. What is the number that is 2 more than one-tenth of one-fifth of one-tenth of 1,000?
77. Replace the asterisks with mathematical symbols to make this equation work.
888 * 8 * 8 * 88 * 8 * 8 * 8 = 1527
78. In a contest to guess the number of balloons in a bunch, Alice guessed 31, Betty guessed 29, Carol guessed 23, Denise guessed 25, and Edith guessed 27. Two were wrong by 2, and two were wrong by 4. The other was correct. How many balloons were there and who guessed right?
79. Charley bought a motorcycle to tour the country with. After two years, it had depreciated to $6,000 and in five years it had a book value of $3,750. What did the motorcycle cost originally, and how long before it would have a book value of $0?
80. My wife and I can't seem to get our watches to work properly. Hers consistently runs one minute per hour fast, and mine runs two minutes per hour slow. This morning we nearly missed a wedding because our watches were an hour apart and we looked at the slower one. How many hours had elapsed since we set both of them properly?