Margery is planning a vacation, and her round-trip airfare will cost $572. Her hotel costs $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing and expects to spend about $250 on meals. She will receive a 10% discount on the hotel price after the first night. What is the total amount Margery expects to spend on her vacation?

Correct Answer: C

Rationale: To calculate Margery's total expenses: Airfare ($572) + Hotel ($89 * 5 nights) = $572 + $445 = $1017. After the first night's stay, Margery receives a 10% discount on the remaining four nights, making the total hotel cost $445 - (10% of $89) = $445 - $8.90 = $436.10. Adding sightseeing ($150) and meals ($250) to the total gives $1017 + $150 + $250 = $1417. Margery's expected expenses are $1417, not $1381.40 as stated in the original rationale. Therefore, the correct answer is $1,417.60 (Option D).

Correct Answer: B

Rationale: In this question, the correct answer is B) -20. To simplify the expression, we follow the order of operations (PEMDAS/BODMAS): parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). First, we simplify within the parentheses: 5 + 6 * 3 = 5 + 18 = 23 Now, we substitute this back into the original expression: 7 + 16 - 23 - 10 * 2 Next, we multiply 10 * 2 = 20: 7 + 16 - 23 - 20 Now, we perform addition and subtraction from left to right: 7 + 16 = 23 23 - 23 = 0 0 - 20 = -20 Therefore, the correct answer is -20. Option A) -42 is incorrect because the calculations were not done correctly, resulting in a different value. Option C) 23 is incorrect as it represents the simplified value within the parentheses but does not follow through with the rest of the expression. Option D) 20 is incorrect as it does not consider the correct order of operations and the simplification steps required in the given expression. Understanding and applying the order of operations is crucial in simplifying mathematical expressions accurately, ensuring correct solutions to problems like this one.

Correct Answer: C

Rationale: To find the fraction of the class wanting to work with the elderly, we convert the percentage to a fraction. 60% can be written as 60/100, which simplifies to 3/5. Therefore, 3/5 of the class wanted to work with the elderly. Choice A (1/4), choice B (1/10), and choice D (1/20) do not represent the fraction of the class wanting to work with the elderly, making them incorrect.

Correct Answer: C

Rationale: Out of the 100 patients, 30% were men. Since 10% of the men were overweight as children, 90% of the male patients were not overweight. Therefore, the number of male patients not overweight as children can be calculated as 30 (total male patients) x 0.90 = 27. Choices A, B, and D are incorrect because they do not accurately calculate the number of male patients who were not overweight as children based on the given information.

Correct Answer: A

Rationale: To find the total fraction of the second midwife's budget spent on the office administrator and office supplies, add the fractions. The midwife allocates 1/2 of her funds to the office administrator (1/2) and another 1/10 for office supplies. Adding 1/2 and 1/10 gives a total of 3/5. Choice A (3/5) is correct. Choice B (2/12) is incorrect as it simplifies to 1/6, which is not the total fraction. Choice C (2/20) is incorrect as it simplifies to 1/10, which is only the fraction spent on office supplies, not the total. Choice D (1/20) is incorrect as it represents only the fraction spent on office supplies, not the total spent on both the administrator and supplies.