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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.
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An employer wants to purchase one cup of coffee for each of their 214 employees. A cup of coffee costs $3.95. To estimate the total cost, the employer plans to round the number of employees to the nearest ten and round the cost of the coffee to the nearest dollar. Which of the following prices represents the estimated total cost for the coffee?
- A. $845.30
- B. $840.00
- C. $829.50
- D. $850.00
Correct Answer: B
Rationale: Rounding 214 employees to the nearest ten gives 210. Rounding the cost of coffee ($3.95) to the nearest dollar gives $4. The estimated total cost is 210 x $4 = $840.00.
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.
A worker earns $8000.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 social security tax. How much will the worker make in 4 weeks after taxes are deducted?
- A. $31,200.00
- B. $29,200.00
- C. $26,000.00
- D. $24,000.00
Correct Answer: A
Rationale: To determine the worker's earnings in 4 weeks after taxes are deducted, start by calculating the total weekly tax deductions: $83.00 + $38.00 + $79.00 = $200.00. Subtract the total weekly tax deductions from the weekly earnings: $8000.00 - $200.00 = $7800.00. Now, to find the total earnings after 4 weeks, multiply the weekly earnings after deductions by 4: $7800.00 x 4 = $31,200.00. Therefore, the worker will make $31,200.00 in 4 weeks after taxes are deducted.
What is 31% of 426?
- A. 425.69
- B. 0.07
- C. 13.7
- D. 132.06
Correct Answer: D
Rationale: To find 31% of 426, you multiply 426 by 0.31 (which represents 31% in decimal form). The calculation is 426 * 0.31 = 132.06. Therefore, the correct answer is D, 132.06.
A circle has an area of 49Ï€ square inches. What is the circumference of the circle in terms of pi?
- A. 7Ï€ inches
- B. 28Ï€ inches
- C. 14Ï€ inches
- D. 3.5Ï€ inches
Correct Answer: C
Rationale: To find the circumference of a circle with an area of 49π square inches, you first need to find the radius using the area formula A = πr^2. Given the area is 49π, then 49π = πr^2, which simplifies to r^2 = 49, resulting in r = 7. The circumference formula is C = 2πr. Substituting r = 7 gives C = 2π(7) = 14π. Therefore, the correct circumference of the circle in terms of pi is 14π inches.