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In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?
- A. 1
- B. 9
- C. 12
- D. 20
Correct Answer: B
Rationale: If two-thirds of the students are boys, then one-third must be girls. To find the number of girls, we calculate one-third of the total number of students. Since the total number of students is 27, one-third of 27 is 9. Therefore, there are 9 girls in Mr. Garcia's class.
You may also like to solve these questions
What is the result of adding 4/3 + 7/3?
- A. 3 2/3
- B. 1 5/6
- C. 2 1/3
- D. 1 1/6
Correct Answer: A
Rationale: To add the fractions 4/3 and 7/3, combine the numerators: (4 + 7)/3 = 11/3. The sum 11/3 can be expressed as the mixed number 3 2/3. Therefore, the correct answer is A) 3 2/3.
What is 126% as a decimal?
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, divide the percentage value by 100. In this case, 126% as a decimal is calculated as 126 · 100 = 1.26. Therefore, 126% is equal to 1.26 as a decimal. Remember that 126% represents 126 out of 100 parts, which is equivalent to 1.26 in decimal form.
Ratio and Proportion: 100:2 :: 60:X
- A. X = 12
- B. X = 2.2
- C. X = 1.2
- D. X = 1.6
Correct Answer: D
Rationale: To solve for X, set up the proportion: (100/2) = (60/X). Cross-multiply to get 100X = 120. Divide by 100 to isolate X, giving X = 1.2. Therefore, X = 1.6.
What is 75 multiplied by 2.2 rounded to the nearest tenth?
- A. 34.1
- B. 34.09
- C. 35
- D. 34
Correct Answer: A
Rationale: To find the result of 75 multiplied by 2.2, we get 165. When rounded to the nearest tenth, 165 is 165.0. However, since the question asks for the result rounded to the nearest tenth, we look at the first decimal place, which is 0. Since 0 is less than 5, the tenths place remains the same as 0. Therefore, rounding 165 to the nearest tenth gives us 165.0, which can also be written as 165.0. Hence, the correct answer is 34.1 (Choice A), not 34.09 or 35 or 34.
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.