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Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
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In a nursing school with 89 students, if 7 out of 8 are female, what percentage of students are female?
- A. 85%
- B. 87.50%
- C. 90%
- D. 75%
Correct Answer: B
Rationale: To find the percentage of female students, first determine the number of female students by multiplying (7/8) by 89, resulting in 78 females. Then, to calculate the percentage, divide the number of female students (78) by the total number of students (89) and multiply by 100 to get 87.50%. Therefore, 87.50% of the students in the nursing school are female.
15:3 = x:5. Find the value of x. (Enter whole number only.)
- A. 20
- B. 25
- C. 30
- D. 35
Correct Answer: B
Rationale: To find the value of x, we can set up a proportion: 15/3 = x/5. Simplifying this, we get 5 = x/5. Multiplying both sides by 5 gives us x = 25. Therefore, the correct answer is B (25). Choice A (20) is incorrect because it does not satisfy the proportion. Choices C (30) and D (35) also do not fit the proportion and are therefore incorrect options.
Solve for x when x=11. x + 44 / 2x =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11). First, perform the operation inside the parentheses: 2*11 = 22. Then, divide 44 by 22 to get 2. Finally, add 11 and 2 to get the result of 13. Therefore, when x=11, x + 44 / 2x equals 13, making choice C the correct answer.
A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?
- A. 50
- B. 6
- C. 5
- D. 17
Correct Answer: C
Rationale: First, calculate the total number of balloons needed: 15 balloons/child * 16 children = 240 balloons. Next, divide by the number of balloons per packet: 240/50 = 4.8 packets. Since she cannot purchase a fraction of a packet, she needs to round up to the nearest whole number. Therefore, she needs to purchase 5 packets to have enough balloons for the party. Hence, the correct answer is C) 5.
Multiply: 39/54 x 6/13, reduced to lowest terms =
- A. 3\7
- B. 2\9
- C. 1\3
- D. 13\27
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators together and the denominators together.
(39/54) x (6/13) = (39 x 6) / (54 x 13) = 234 / 702.
Reduce the fraction to lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 234.
234 ÷ 234 = 1 and 702 ÷ 234 = 3.
So, the final answer is 1/3 (Choice C).
Choices A, B, and D are incorrect because they do not simplify to 1/3. Option A simplifies to 3/7, Option B to 2/9, and Option D to 13/27.