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How many cakes are needed to provide 24 servings for a class of 70 and a staff of 3?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To determine the number of cakes needed, calculate the total number of servings required. The class of 70 and staff of 3 total 73 people. Since each cake offers 24 servings, divide the total servings required by the servings per cake: 73 / 24 ≈ 3.04. Rounding up to the nearest whole number ensures enough servings, indicating that 4 cakes are needed to meet the demand for the class and staff.
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How many ounces are in 3 5/8 quarts?
- A. 32
- B. 116
- C. 96
- D. 928/8
Correct Answer: B
Rationale: To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.
Ratio and Proportion: 450:15::225:X
- A. X=15
- B. X=75
- C. X=30
- D. X=60
Correct Answer: C
Rationale: To find X in the proportion 450:15::225:X, we need to set up a ratio equation. The ratio 450:15 simplifies to 30:1 (by dividing both sides by 15). So, the proportion becomes 30:1::225:X. To find X, we cross multiply: 30 * X = 225 * 1. Solving for X, we get X = 225/30 = 7.5. Therefore, the correct answer is C: X=30.
Rationale:
A) X=15 is incorrect because it does not follow the ratio relationship.
B) X=75 is incorrect as it is not the result of the ratio calculation.
D) X=60 is incorrect because it does not align with the correct ratio computation.
Convert the percentage to a decimal: 38% =
- A. 3.8
- B. 0.038
- C. 38
- D. 0.38
Correct Answer: D
Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 38% is equal to 38/100 = 0.38 when converted to a decimal. Therefore, the correct answer is D.
Multiply and reduce to lowest term: (2 x 5/8)
- A. 3\4
- B. 10\8
- C. 5\8
- D. 1 1/4
Correct Answer: D
Rationale: To multiply (2 x 5/8), first multiply the whole number 2 by the numerator 5 to get 10. Then, multiply the result by the denominator 8 to get 10/8. Simplify 10/8 to 1 1/4 by dividing the numerator by the denominator, resulting in 1 whole and 1/4 left over. Therefore, the correct answer is D.
Choice A (3/4) is incorrect because the multiplication result is not 3/4. Choice B (10/8) is incorrect as it represents the result before reducing to lowest terms. Choice C (5/8) is incorrect as it only represents the initial fraction being multiplied, not the final result after multiplication and simplification.
In the ratio 0.6 : X :: 7 : 42, what is X?
- A. 3
- B. 3.6
- C. 4
- D. 4.2
Correct Answer: B
Rationale: To find the value of X in the given ratio, set up the proportion: (0.6/X) = (7/42). Simplifying this, we get (0.6/X) = (1/6). Cross multiplying gives 0.6 * 6 = X, which results in X = 3.6. Therefore, the correct answer is 3.6, representing the value of X in the given ratio.