HESI Mathematics

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A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?

  • A. 11,331
  • B. 33,990
  • C. 50,986
  • D. 45,321
Correct Answer: A

Rationale: To find the number of books in the non-fiction section, start by calculating the number of books in the children's section: 67,982 * 1/3 = 22,661 books. Subtract the children's books from the total to determine the remaining books: 67,982 - 22,661 = 45,321 books. As 75% of the remaining books are fiction, calculate 75% of 45,321 = 33,990 (fiction books). To find the number of non-fiction books, subtract the fiction books from the remaining books: 45,321 - 33,990 = 11,331. Therefore, there are 11,331 non-fiction books in the library.

You may also like to solve these questions

What is 7/8 + 9/10 + 6/5 as a mixed number?

  • A. 3 22/23
  • B. 3 39/40
  • C. 22/23
  • D. 2 39/40
Correct Answer: A

Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.

What is the sum of 23.5 + 7.025?

  • A. 30.525
  • B. 30.5
  • C. 30.025
  • D. 16.475
Correct Answer: A

Rationale: To find the sum of 23.5 and 7.025, align the decimal points and add the numbers as if they were whole numbers. 23.5 + 7.025 equals 30.525. Therefore, the correct answer is A, which is 30.525. When adding decimal numbers, it is essential to maintain the alignment of decimal points and add the numbers accordingly. In this case, adding 23.5 and 7.025 results in 30.525, with the decimal point staying in the same position as the numbers being added.

How many kilograms are in 2000 grams?

  • A. 20 kilograms
  • B. 2 kilograms
  • C. 0.002 kilograms
  • D. 0.2 kilograms
Correct Answer: B

Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. The correct answer is 2 kilograms. Remember, when converting units, it is important to keep track of the conversion factor to ensure the correct transformation of measurements. In this case, multiplying or dividing by 1000 is a common conversion for grams to kilograms, moving the decimal point three places to the left or right.

Round to the nearest whole number. Change the fraction to a percent: 2/9

  • A. 20%
  • B. 21%
  • C. 23%
  • D. 22%
Correct Answer: D

Rationale: To convert a fraction to a percent, divide the numerator by the denominator, then multiply by 100. For 2/9, 2 · 9 = 0.2222... Multiplying by 100 gives 22%. When rounding to the nearest whole number, 0.2222... is closer to 22% than to 21% or 23%, making the correct answer D.

Evaluate ab^2-ac if a=c, b=-4, and c=-5

  • A. 56
  • B. 105
  • C. -23
  • D. -5
Correct Answer: B

Rationale: To evaluate the expression "ab^2 - ac", substitute the values into the expression. Thus, "ab^2 - ac" becomes "(-5)(-4)^2 - (-5)(-5)", which simplifies to "(-5)(16) - 25 = -80 - 25 = -105". Therefore, the evaluated expression is -105.

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