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A person weighed themselves at 180 lb. Three months later, they weighed themselves at 160 lb. What is the percentage of weight the person lost over 3 months? (Round to the nearest percent)
- A. 11%
- B. 20%
- C. 9%
- D. 13%
Correct Answer: A
Rationale: To calculate the percentage of weight lost, subtract the final weight from the initial weight: 180 lb - 160 lb = 20 lb. Next, divide the weight lost by the initial weight: 20 lb / 180 lb ≈ 0.1111. To express this as a percentage, multiply by 100: 0.1111 * 100 = 11.11%, which rounds to 11% when rounded to the nearest percent. Therefore, the person lost 11% of their weight over the three months, making choice A the correct answer.
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A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective? 2 packs of Orange and 1 pack of Cream Soda; 2 packs of Root Beer and 1 pack of Cream Soda; 3 packs of Orange; 5 packs of Cream Soda.
- A. 2 packs of Orange and 1 pack of Cream Soda
- B. 2 packs of Root Beer and 1 pack of Cream Soda
- C. 3 packs of Orange
- D. 5 packs of Cream Soda
Correct Answer: A
Rationale: Option A, 2 packs of Orange and 1 pack of Cream Soda, provides 60 drinks for $23, resulting in the lowest cost per drink. Since the consumer needs a minimum of 50 soft drinks for the picnic, this combination offers the most cost-effective solution to meet the requirement within the specified budget. Choosing this combination allows the consumer to have a surplus of 10 drinks while keeping the cost per drink at a minimum, making it the optimal choice for the consumer's needs.
How many milliliters are in 0.5 liters?
- A. 5,000
- B. 5
- C. 500
- D. 50
Correct Answer: C
Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1,000 milliliters. Therefore, to find out how many milliliters are in 0.5 liters, you multiply 0.5 by 1,000, which gives you 500 milliliters. Hence, the correct answer is 500 milliliters. Remember, when converting between units, you must use the correct conversion factor to ensure the accuracy of your calculations.
There are 80 calories in one serving of salad dressing, and 87.5% of those calories are from fat. One serving of salad dressing is 2 tablespoons. Which of the following amounts is the number of calories from fat per tablespoon of salad dressing?
- A. 40
- B. 70
- C. 35
- D. 45
Correct Answer: A
Rationale: To find the calories from fat per tablespoon, first, calculate the total calories from fat: 80 calories * 0.875 = 70 calories from fat. Then, divide by the number of tablespoons in a serving (2): 70 / 2 = 35 calories per tablespoon. Therefore, the correct answer is 35 calories, which is closest to 40.
A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 1/2 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 3 8/15 cups
- B. 2 11/15 cups
- C. 7 1/15 cups
- D. 6 cups
Correct Answer: A
Rationale: To determine the amount of milk needed for 2 cups of flour, we first establish the ratio of flour to milk in the recipe: 1/2 cup of flour requires 1 1/2 cups of milk. Then, we calculate the amount of milk needed for 2 cups of flour by applying this ratio: 2 cups of flour * (1 1/2 cups of milk / 1/2 cup of flour) = 2 * 3 = 6 cups of milk. Therefore, for the bigger batch using 2 cups of flour, the chef would need 6 cups of milk, which is equivalent to 3 8/15 cups.
What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
- A. 96
- B. 78
- C. 80
- D. 82
Correct Answer: C
Rationale: To find the mean of a set of numbers, you add up all the numbers and then divide by the total count of numbers. In this case, (100 + 78 + 47 + 84 + 93 + 78) / 6 = 480 / 6 = 80. Therefore, the mean of the given test scores is 80. The correct answer is C, 80, as it represents the average of the test scores provided.