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Louise wins $25 in a raffle at the fair. She spends $50 on an apple pie and $25 on lemonade. How much of her winnings does she take home?
- A. $12.75
- B. $16.25
- C. $18.25
- D. $19.50
Correct Answer: B
Rationale: Louise's total spending is $50 + $25 = $75. To find out how much of her winnings she takes home, we need to subtract her total spending from her winnings: $25 - $75 = -$50. Louise actually loses $50 as she spends more than her winnings. Therefore, she doesn't take home any money and would be in debt by $50. The correct answer is $25 - $75 = -$50, indicating that she does not take home any winnings and is in a deficit.
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A bottle of hand sanitizer contains 70% alcohol. If 5ml of sanitizer are used, how much pure alcohol is present?
- A. 1.4ml
- B. 2.1ml
- C. 2.8ml
- D. 3.5ml
Correct Answer: B
Rationale: Rationale:
- If the hand sanitizer contains 70% alcohol, it means that 70% of the 5ml used is pure alcohol.
- To find the amount of pure alcohol present, we calculate 70% of 5ml: 0.7 * 5ml = 3.5ml.
- Therefore, when 5ml of sanitizer are used, there are 3.5ml of pure alcohol present.
Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
- A. (2 + 3)^2
- B. 5 x 7 + 2
- C. 10^2 - 4^2
- D. (8 - 1) x 3
Correct Answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one:
A) (2 + 3)^2 = 5^2 = 25
B) 5 x 7 + 2 = 35 + 2 = 37
C) 10^2 - 4^2 = 100 - 16 = 84
D) (8 - 1) x 3 = 7 x 3 = 21
Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.
A medication dosage is listed as 1/2 teaspoon. What is the equivalent dosage in milliliters (1 teaspoon = 5ml)?
- A. 1.25ml
- B. 2.5ml
- C. 3.75ml
- D. 5ml
Correct Answer: B
Rationale: Rationale:
Given that 1 teaspoon is equal to 5ml, and the medication dosage is listed as 1/2 teaspoon, we need to find half of 5ml.
1/2 of 5ml = 5ml / 2 = 2.5ml
Therefore, the equivalent dosage in milliliters for 1/2 teaspoon is 2.5ml.
How many pints are there in 4 quarts?
- A. 2 pints
- B. 8 pints
- C. 16 pints
- D. 32 pints
Correct Answer: B
Rationale: To convert quarts to pints, we know that 1 quart is equivalent to 2 pints. Therefore, to find out how many pints are in 4 quarts, we multiply 2 pints by 4, which equals 8 pints. Hence, the correct answer is 8 pints. Choice A (2 pints) is incorrect because it represents the conversion of 1 quart, not 4 quarts. Choice C (16 pints) and Choice D (32 pints) are incorrect as they miscalculate the conversion by not considering the correct conversion factor of 2 pints per quart.
Olivia currently earns $51,200 in her job. If her salary increases by 4% this year, what will her new salary be?
- A. $52,348
- B. $52,736
- C. $53,040
- D. $53,248
Correct Answer: D
Rationale: To find Olivia's new salary after a 4% increase, we calculate 4% of $51,200, which is 0.04 x $51,200 = $2,048. Adding this increase to Olivia's current salary gives us the new salary: $51,200 + $2,048 = $53,248. Therefore, Olivia's salary after the 4% increase will be $53,248. Choices A, B, and C are incorrect as they do not reflect the correct calculation for the new salary after a 4% increase.