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question:A set of three numbers has both a mean and median equal to 4. If the smallest number in the set is 1, what is the range of the set of numbers?

answer:Since the mean and median are both 4, the three numbers must be 1, 4, and 7. The range of the set is the difference between the largest and smallest numbers, which is 7-1=boxed{6}. The answer is: 6

question:f Melina's age is 60 and she is three times as old as Alma, and the sum of their ages is twice the total number of points Alma scored in a test, what is Alma's score in the test?

answer:If Melina's age is 60 and she is three times as old as Alma, then Alma's age is 60/3 = 20. The sum of their ages is 60+20 = 80. If the sum of their ages is twice the total number of points Alma scored in a test, then Alma's score in the test is 80/2 = 40. 40 The answer is: 40

question:f Alice purchased 3600 acorns for nine times the price Bob paid, and Bob paid 6000 for his acorns, how much money did Alice pay for each acorn?

answer:If Bob paid 6000 for his acorns and Alice purchased 3600 acorns for nine times the price Bob paid, then Alice paid 9*6000 = 54000 for her acorns. To find out how much Alice paid for each acorn, we divide the total amount Alice paid by the number of acorns she purchased: 54000 / 3600 = 15 Therefore, Alice paid 15 for each acorn. 15 The answer is: 15

question:What is the value of one third of 5.4, expressed as a simplified fraction?

answer:To find one third of 5.4, we divide 5.4 by 3. This gives us frac{5.4}{3} = frac{54}{10} div frac{3}{1} = frac{54}{10} cdot frac{1}{3} = frac{54}{30} = frac{9}{5}. Therefore, one third of 5.4 is boxed{frac{9}{5}}.The answer is: frac{9}{5}

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