Nursing Elites

1. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?

• A. 3.6 cups
• B. 4 cups
• C. 4.6 cups
• D. 4.8 cups

Correct answer: B

Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.

2. Express the ratio of 6:7 as a percentage.

• A. 67%
• B. 76%
• C. 86%
• D. 93%

Correct answer: A

Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.

3. In a local baseball team, 4 players, which represent 5% of the team, have long hair, and the rest have short hair. How many short-haired players are there on the team?

• A. 72
• B. 74
• C. 76
• D. 78

Correct answer: C

Rationale: Given that 4 players represent 5% of the team, let's denote the total number of players as x. The equation to represent this situation is 0.05x = 4. Solving for x, we get x = 80, which is the total number of players on the team. Since 4 players have long hair, the remaining players have short hair, which is 80 - 4 = 76. Therefore, there are 76 short-haired players on the team. Choices A, B, and D are incorrect as they do not consider the total number of players correctly, leading to inaccurate calculations.

4. Solve for x: 3x + 9 = 0.

• A. x = -3
• B. x = -3
• C. x = 1
• D. x = 0

Correct answer: B

Rationale: To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9. Then, divide by 3 to solve for x, giving x = -3. Therefore, the correct answer is B. Choice A, x = -3, is the correct solution. Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.

5. Multiply: 35 × 25 =

• A. 0.00875
• B. 0.0875
• C. 0.875
• D. 8.75

Correct answer: D

Rationale: To multiply 35 × 25, break it down into (30 + 5) × 25. Now distribute: (30 × 25) + (5 × 25) = 750 + 125 = 875. Therefore, 35 × 25 = 875. Choices A, B, and C are incorrect because they do not represent the correct result of multiplying 35 by 25. Choice A is 1000 times smaller than the correct answer, Choice B is 100 times smaller, and Choice C is 10 times smaller, making them all incorrect. The correct answer is Choice D, 8.75.

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