Nursing Elites

1. Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost?

• A. $1.75
• B. $2.00
• C. $2.25
• D. $2.50

Correct answer: C

Rationale: To solve this problem, we can set up a system of equations. Let the cost of one container of yogurt be y and the cost of one box of crackers be c. From the first scenario, we have 4y + 3c = 9.55. From the second scenario, we have 2y + 2c = 5.90. Solving these equations simultaneously, we find that c = $2.25. Therefore, one box of crackers costs $2.25. Choice A, $1.75, is incorrect because it does not satisfy the given conditions in the system of equations. Choice B, $2.00, is incorrect as it does not match the calculated solution. Choice D, $2.50, is incorrect as it does not align with the calculated value for one box of crackers.

2. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses ¾ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

• A. 4
• B. 6
• C. 2
• D. 1

Correct answer: D

Rationale: Xavier starts with 20 apples. He gives half to Emma, leaving him with 10 apples. After giving 6 more to Jim, he has 4 apples left. Using ¾ of the remaining 4 apples for the pie leaves him with 1 apple at the end of the day. Choice A is incorrect because it doesn't account for the apple pie Xavier made. Choices B and C are incorrect as they don't reflect the correct calculations of apples remaining after each step.

3. How many centimeters in an inch? How many inches in a centimeter?

• A. 2.54 centimeters in an inch; 0.393 inches in a centimeter
• B. 1 centimeter in an inch; 1 inch in a centimeter
• C. 1.5 centimeters in an inch; 1.5 inches in a centimeter
• D. 2 centimeters in an inch; 0.5 inches in a centimeter

Correct answer: A

Rationale: The correct conversion is: 1 inch = 2.54 centimeters and 1 centimeter = 0.393 inches. Therefore, option A is correct. Option B is incorrect as the conversion is incorrect. Option C is incorrect as it does not match the correct conversion values. Option D is incorrect as the conversion values provided are inaccurate.

4. Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?

• A. 1/4
• B. 13/60
• C. 47/60
• D. 1/4

Correct answer: C

Rationale: To find the fourth person's share, subtract the fractions paid by the first three people from the total bill (1). The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. Adding these fractions gives 7/15. Subtracting this from 1 gives the fourth person's share as 8/15, which simplifies to 4/5. Therefore, the fourth person pays 4/5 of the bill. Option A (1/4) is incorrect because it does not consider the fractions paid by the first three people. Option B (13/60) is incorrect as it is not the remainder after subtracting the first three fractions from 1. Option D (1/4) is a duplicate of Option A and is also incorrect.

5. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $1.75 per foot, how much will the farmer need to spend on fencing material to enclose the perimeter of the field?

• A. $2,240
• B. $2,800
• C. $3,360
• D. $4,480

Correct answer: C

Rationale: To find the perimeter of a hexagonal field with 6 sides, multiply the length of one side (320 feet) by the number of sides (6): 320 x 6 = 1920 feet. The total cost of the fencing material can be calculated by multiplying the perimeter by the cost per foot: 1920 feet x $1.75 = $3360. Therefore, the farmer will need to spend $3,360 on fencing material to enclose the perimeter of the field. Choice A, B, and D are incorrect as they do not accurately calculate the total cost based on the given measurements and cost per foot.

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