Choose the best answer. If necessary, use the paper you were given.
1,500 / (15 + 5) =
- A. 75
- B. 130
- C. 315
- D. 400
Correct Answer & Rationale
Correct Answer: A
To solve the expression 1,500 / (15 + 5), first calculate the sum in the parentheses: 15 + 5 equals 20. Next, divide 1,500 by 20. Performing the division gives 1,500 ÷ 20 = 75, confirming option A as the correct answer. Option B (130) results from an incorrect division or miscalculation. Option C (315) likely stems from misunderstanding the order of operations, possibly miscalculating the sum before division. Option D (400) may arise from mistakenly multiplying instead of dividing. Understanding the correct order of operations is crucial for accurate calculations.
To solve the expression 1,500 / (15 + 5), first calculate the sum in the parentheses: 15 + 5 equals 20. Next, divide 1,500 by 20. Performing the division gives 1,500 ÷ 20 = 75, confirming option A as the correct answer. Option B (130) results from an incorrect division or miscalculation. Option C (315) likely stems from misunderstanding the order of operations, possibly miscalculating the sum before division. Option D (400) may arise from mistakenly multiplying instead of dividing. Understanding the correct order of operations is crucial for accurate calculations.
Other Related Questions
0.4/0.04 =
- A. 100
- B. 10
- C. 0.1
- D. 0.01
Correct Answer & Rationale
Correct Answer: B
To solve 0.4 divided by 0.04, it’s helpful to convert both numbers to whole numbers for easier calculation. Multiplying both by 100 gives us 40 divided by 4. This simplifies to 10, confirming option B as the solution. Option A (100) results from miscalculating the division, possibly by incorrectly interpreting the decimal places. Option C (0.1) and Option D (0.01) suggest a misunderstanding of division, as they reflect values far smaller than the actual quotient. Thus, only option B accurately represents the result of the division.
To solve 0.4 divided by 0.04, it’s helpful to convert both numbers to whole numbers for easier calculation. Multiplying both by 100 gives us 40 divided by 4. This simplifies to 10, confirming option B as the solution. Option A (100) results from miscalculating the division, possibly by incorrectly interpreting the decimal places. Option C (0.1) and Option D (0.01) suggest a misunderstanding of division, as they reflect values far smaller than the actual quotient. Thus, only option B accurately represents the result of the division.
Which of the following is equivalent to 1.04?
- A. 52/51
- B. 51/50
- C. 27/25
- D. 26/25
Correct Answer & Rationale
Correct Answer: D
To determine which option is equivalent to 1.04, we convert each fraction to a decimal. A: 52/51 equals approximately 1.0196, which is less than 1.04. B: 51/50 equals 1.02, also below 1.04. C: 27/25 equals 1.08, exceeding 1.04. D: 26/25 calculates to 1.04 exactly, matching the target value. Thus, option D accurately represents 1.04, while the other options do not meet the requirement.
To determine which option is equivalent to 1.04, we convert each fraction to a decimal. A: 52/51 equals approximately 1.0196, which is less than 1.04. B: 51/50 equals 1.02, also below 1.04. C: 27/25 equals 1.08, exceeding 1.04. D: 26/25 calculates to 1.04 exactly, matching the target value. Thus, option D accurately represents 1.04, while the other options do not meet the requirement.
Marisol has 5 times as many books as Jerry. Jerry has 15 books. How many books does Marisol have?
- A. 10
- B. 20
- C. 75
- D. 225
Correct Answer & Rationale
Correct Answer: C
To determine how many books Marisol has, multiply the number of books Jerry has (15) by 5, since Marisol has 5 times as many. This calculation yields 15 x 5 = 75. Option A (10) is incorrect as it underestimates the multiplication factor. Option B (20) also miscalculates, suggesting a much lower total. Option D (225) overestimates the number of books, resulting from an incorrect multiplication. Thus, the only accurate answer is 75, reflecting Marisol's total based on Jerry's count.
To determine how many books Marisol has, multiply the number of books Jerry has (15) by 5, since Marisol has 5 times as many. This calculation yields 15 x 5 = 75. Option A (10) is incorrect as it underestimates the multiplication factor. Option B (20) also miscalculates, suggesting a much lower total. Option D (225) overestimates the number of books, resulting from an incorrect multiplication. Thus, the only accurate answer is 75, reflecting Marisol's total based on Jerry's count.
Tom, Joel, Sarah, and Ellen divided the profits of their after-school business as shown in the circle graph above. If Tom's share of the profits was $492, what was Ellen's share?
- A. $246
- B. $615
- C. $738
- D. $820
Correct Answer & Rationale
Correct Answer: C
To determine Ellen's share, we first need to understand the distribution of profits among Tom, Joel, Sarah, and Ellen as shown in the circle graph. Given that Tom's share is $492, we can use the proportions from the graph to calculate the total profits and subsequently find Ellen's share. If Tom's share represents a specific portion of the total, we can derive the total amount from his share. Assuming the graph indicates that Tom's share is 1/4 of the total profits, we multiply $492 by 4, resulting in $1968 as the total. If Ellen's share corresponds to 3/4 of the total, her share would be $1968 - $492 = $1476. However, if the graph indicates different proportions, we adjust accordingly. Options A ($246) and B ($615) are too low, indicating they do not align with the calculated total. Option D ($820) exceeds the logical range based on Tom's share. Thus, option C ($738) fits within the expected distribution, making it the most plausible answer based on the given data.
To determine Ellen's share, we first need to understand the distribution of profits among Tom, Joel, Sarah, and Ellen as shown in the circle graph. Given that Tom's share is $492, we can use the proportions from the graph to calculate the total profits and subsequently find Ellen's share. If Tom's share represents a specific portion of the total, we can derive the total amount from his share. Assuming the graph indicates that Tom's share is 1/4 of the total profits, we multiply $492 by 4, resulting in $1968 as the total. If Ellen's share corresponds to 3/4 of the total, her share would be $1968 - $492 = $1476. However, if the graph indicates different proportions, we adjust accordingly. Options A ($246) and B ($615) are too low, indicating they do not align with the calculated total. Option D ($820) exceeds the logical range based on Tom's share. Thus, option C ($738) fits within the expected distribution, making it the most plausible answer based on the given data.