Nokea
5 ½ divided by 2 ½ =
- A. 2 3/4
- B. 2 1/5
- C. 2
- D. 2 1/2
Correct Answer: B
Rationale: Correct Answer: B (2 1/5)
Rationale: Convert mixed numbers to improper fractions: 5 ½ = 11/2, 2 ½ = 5/2. Perform division: (11/2) ÷ (5/2) = 11/2 x 2/5 = 22/10 = 2 2/10 = 2 1/5.
Summary:
A: Incorrect, as it is equivalent to 2 3/4.
C: Incorrect, as it is a whole number and doesn't represent the result of the division.
D: Incorrect, as it is the initial divisor, not the result of the division.
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An artist sells paintings at $5.50 each. She has 7 stands in town and pays $35 per stand. What was her profit if she sold an average of 11 paintings per stand?
- A. $245
- B. $178.50
- C. $175
- D. $423.50
Correct Answer: B
Rationale: To calculate the profit per stand, we first find the total revenue per stand by multiplying the number of paintings sold (11) by the price per painting ($5.50), which equals $60.50. Then, we subtract the stand cost ($35) from the total revenue to find the profit per stand: $60.50 - $35 = $25.50. Since the artist has 7 stands, the total profit is $25.50 * 7 = $178.50. Therefore, the correct answer is $178.50. The profit per stand is determined by subtracting the stand cost from the total revenue generated from selling paintings. Multiplying this profit per stand by the number of stands gives the total profit. In this scenario, the artist's profit from selling an average of 11 paintings per stand would amount to $178.50.
Subtract: 32.21 - 4.68 =
- A. 14.53
- B. 27.53
- C. 1.459
- D. 27.53
Correct Answer: D
Rationale: To subtract decimals, align the decimal points and subtract each place value. Starting from the right, 1 - 8 requires borrowing from the tens place, resulting in 11 - 8 = 3. Then, 2 - 6 requires borrowing from the tens place again, resulting in 12 - 6 = 6. The result is 27.53. Therefore, the correct answer is 27.53 (Option D). Remember to be careful with decimal alignment and borrowing when subtracting decimals.
Add: 5/8 + 1/2 =
- A. 9\8
- B. 7\8
- C. 11\8
- D. 3\4
Correct Answer: C
Rationale: To add fractions, we need a common denominator. In this case, the common denominator for 8 and 2 is 8. So, 5/8 + 1/2 becomes 5/8 + 4/8 = 9/8. Therefore, the correct answer is C: 11/8. Choice A is incorrect because it does not account for the common denominator. Choice B is incorrect as it adds the numerators incorrectly. Choice D is incorrect as it simplifies the fractions incorrectly.
Ratio and Proportion: 9 : X :: 5 : 300
- A. 540
- B. 600
- C. 450
- D. 500
Correct Answer: A
Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.
If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?
- A. 133 days
- B. 399 days
- C. 66 1/2 days
- D. 75 1/2 days
Correct Answer: C
Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.