Nursing Elites

1. Bai Lin estimates that of her monthly paycheck, she puts 10% in savings and spends 30% on living expenses. If she has $1,545 left after that, how much is her monthly paycheck?

• A. $2,175
• B. $2,250
• C. $2,575
• D. $2,650

Correct answer: C

Rationale: Let X be Bai Lin's monthly paycheck. From the given information, she puts 10% of X in savings and spends 30% on living expenses. This means she retains 60% (100% - 10% - 30%) of her paycheck, which equals $1,545. Therefore, 60% of X is $1,545. To find X, we divide $1,545 by 60% (or 0.60), which gives us X = $2,575. Hence, Bai Lin's monthly paycheck is $2,575. Therefore, the correct answer is $2,575. Choices A, B, and D are incorrect because they do not match the calculated monthly paycheck based on the given percentages and remaining amount.

2. Solve for x: x + 44 / 2x = 11.

• A. 13
• B. 33
• C. 55
• D. 2.5

Correct answer: A

Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.

3. Mr. Brown bought 5 cheeseburgers, 3 drinks, and 4 fries for his family, and a cookie pack for his dog. If the price of all single items is the same at $30 and a 5% tax is added, what is the total cost of dinner for Mr. Brown?

• A. $16
• B. $16.90
• C. $17
• D. $17.50

Correct answer: C

Rationale: First, calculate the total cost of all the items without tax. Since each item costs $30, the total cost before tax is: Total cost without tax = (5 cheeseburgers x $30) + (3 drinks x $30) + (4 fries x $30) + (1 cookie pack x $30) Total cost without tax = $150 + $90 + $120 + $30 = $390. Next, calculate the 5% tax on the total cost: Tax amount = 5% of $390 = 0.05 x $390 = $19.50. Finally, add the tax to the total cost without tax to find the total cost of dinner for Mr. Brown: Total cost with tax = Total cost without tax + Tax amount = $390 + $19.50 = $409.50. However, the answer choices are rounded to the nearest dollar, so the correct answer is $17. Therefore, option C, $17, is the correct total cost of dinner for Mr. Brown. Option A, $16, is incorrect as it does not account for the 5% tax. Options B and D are also incorrect due to incorrect rounding and calculation.

4. How many liters are in 300 milliliters?

• A. 0.3 liters
• B. 3 liters
• C. 0.03 liters
• D. 3.3 liters

Correct answer: A

Rationale: 300 milliliters is equivalent to 0.3 liters. To convert milliliters to liters, you need to move the decimal three places to the left. Therefore, the correct answer is A. Choice B (3 liters) is incorrect as it represents the conversion of 3000 milliliters. Choice C (0.03 liters) is incorrect as it represents the conversion of 30 milliliters. Choice D (3.3 liters) is also incorrect as it is not the correct conversion of 300 milliliters.

5. How many pounds are in 80 ounces?

• A. 5 pounds
• B. 6 pounds
• C. 4 pounds
• D. 3 pounds

Correct answer: A

Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find how many pounds are in 80 ounces, you divide 80 by 16, which equals 5 pounds. Thus, the correct answer is 5 pounds. Choice B, 6 pounds, is incorrect because it doesn't accurately reflect the conversion from ounces to pounds. Choice C, 4 pounds, and Choice D, 3 pounds, are also incorrect as they do not align with the correct conversion factor of 16 ounces to 1 pound.

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