During how many of the months in which City Y’s average rainfall exceeded 3 inches was City X’s average low temperature greater than or equal to 30 degrees?
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Solution
First, look on the bar chart to figure out which months had an average rainfall greater than 3 inches and then apply that information to the temperature chart. According to the bar chart, the only months that had an average rainfall exceeding 3 inches were January, February, March, October, November, and December. According to the line chart, only two of those months had average lows exceeding 30 degrees: October and November
At University F in 2004, what was the closest approximation to the percentage of athletics expenditures NOT covered by athletics income?
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Solution
Athletic expenditures were 9.5%, while income was 6.1%; the difference is 3.4%, and \(\frac{3.4}{9.5}\) can be ballparked to about \(\frac{3.4}{10}\), or about 35%.
In 2004,1⁄2 of University F’s new construction expenditures, 1⁄4 of its facility maintenance expenditures, and 3⁄5 of both the athletics and admissions/scholarships expenditures went towards the construction of a new gymnasium. Approximately how many millions of dollars did University F spend on the new gymnasium in 2004?
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Solution
Ballpark this one: 1⁄2 of the university’s New Construction expenditures is about 3%,1⁄4 of the Facility Maintenance expenditures is about 5%, and 3⁄5 of the Athletics and Admissions/Scholarships expenditures is about 12%.That’s a total of 3% + 5% + 12% = 20%, and 20% of $120 million is $24 million, so the answer is choice (D).
University F’s expenditures in which of the following categories were most nearly equal to $5.4 million in 2004?
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Solution
Be sure to Ballpark this one: 10% of $120 million is $12 million, so 5% would be $6 million. Hence, we’re looking for something just less than 5%. Of the options given, Fine Arts comes closest.
Which of the following correctly lists the number of audio books sold for each of the four groups from greatest to least?
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Solution
Use the first chart.There were approximately 220 New Adult (A) audio books, 330 New Children’s (B) audio books, 50 Used Adult (C), and 200 Used Children’s (D) audio books. Putting these in order from greatest to least gives you: (B) 330, (A) 220, (D) 200, (C) 50, choice (B).
Approximately how many Used Adult Science/Nature books did Book Store X sell in 2005?
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Solution
Use the second graph.The section of the Used Adult bar for Science/Nature (grey portion) starts at approximately 80 and ends at approximately 150. So, the number of Science/Nature books is approximately 150 – 80 = 70, choice (A).
For which major category of books was the number sold most nearly the same for each of the four groups?
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Solution
Use the first graph. Find the line that is the straightest across the four groups, thus, the line with the smallest range. Notice that the Reference line shows about 100, 120, 90, and 80 for the four groups.These numbers are more similar than any other category. For example, the numbers for Large Print are approximately 20, 90, 10, and 140.The range for Large Print (140 – 10 = 130) is much greater than the range for Reference (120 – 80 = 40).The answer is choice (D).
If all the members of the Auto Mechanics Association who held advanced degrees and all the members of the Auto Mechanics Association who had at least 5 children voted for a measure, how many more votes were needed to gain a majority?
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Solution
There is not enough information given to answer this question since all, some, or none of the members who hold advanced degrees could also have 5 or more children.
If 92 members of the Auto Sales Association were females with 5 children, how many members of the Auto Sales Association were males who did not have 5 children?
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Solution
464
Using the second column of the chart, there are 128 total men and women with 5 children, and you are given 92 women with 5 children.By subtracting, this leaves 36 men with 5 children.To find the total number of men who did not have 5 children, take the total number of all men (500) and subtract the number with 5 children (36).The answer is 464 men who did not have 5 children.
If 50 of the male members of the Auto Sales Association were replaced by 50 female members, what would be the ratio of male to female members in the Auto Sales Association?
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Solution
If 50 male members were replaced by 50 female members, there would be 450 male members and 450 female members.The ratio would be 1 to 1.