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Rounded to the nearest whole number, what is 17 out of 68 as a percentage?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. In this case, (17 · 68) — 100 = 25%. Therefore, when rounded to the nearest whole number, 17 out of 68 as a percentage is 25%.
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How many pints are in 80 ounces?
- A. 1,280 pints
- B. 16 pints
- C. 15 pints
- D. 5 pints
Correct Answer: D
Rationale: To determine how many pints are in 80 ounces, we use the conversion that 1 pint is equal to 16 ounces. Therefore, 80 ounces divided by 16 ounces per pint equals 5 pints (80/16 = 5). Choice D, 5 pints, is the correct answer. Choice A is incorrect as it miscalculates by multiplying 80 by 16 instead of dividing. Choices B and C are incorrect as they do not use the correct conversion factor of 16 ounces per pint. Thus, the correct answer is D, 5 pints, as it accurately applies the conversion factor to solve the problem.
Farmer Juan has 14 acres. There is an average yield of 17,460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect for 14 acres?
- A. $403,326
- B. $148,145.45
- C. $244,440
- D. $2,057.79
Correct Answer: A
Rationale: To calculate Farmer Juan's profit for 14 acres, multiply the total number of eggs (14 acres * 17,460 eggs/acre) by the profit per egg ($1.65). This computation results in: 14 * 17,460 * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326 for 14 acres. Each acre produces 17,460 eggs, and since Farmer Juan has 14 acres, the total number of eggs is 14 * 17,460 = 243,240 eggs. Multiplying the total eggs by the profit per egg ($1.65) gives the total profit: 243,240 * $1.65 = $403,326. Hence, Farmer Juan should expect a profit of $403,326 for 14 acres.
What is the result of adding 5 1/3 + 3 1/2?
- A. 8 1/6
- B. 8 2/3
- C. 8 5/6
- D. 9 1/6
Correct Answer: C
Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.
Karen went to the grocery store with $40. She bought a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $30.95
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of the items she purchased from the initial amount. The total cost of the items is $1.85 + $3.20 + $3.05 = $8.10. Subtracting $8.10 from $40, we find $40 - $8.10 = $31.90. Therefore, Karen has $31.90 remaining after buying the items.
45:x=35:105. Find the value of X. (Enter the whole number only.)
- A. 100
- B. 135
- C. 75
- D. 175
Correct Answer: B
Rationale: To find the value of x in the proportion 45:x=35:105, we can cross multiply to solve for x.
45 * 105 = 35 * x
x = (45 * 105) / 35
x = 135
Therefore, the correct answer is B: 135.
Explanation: The correct answer is found by cross multiplying in a proportion. Choice A (100) is incorrect as it doesn't satisfy the proportion. Choice C (75) and Choice D (175) are also incorrect as they do not align with the calculated value of x (135) from the given proportion.