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A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?
- A. 6 1/2 cups
- B. 10 1/2 cups
- C. 5 1/2 cups
- D. 4 1/2 cups
Correct Answer: A
Rationale: To determine the amount of flour needed for 90 cookies using the same recipe, set up a proportion: (90 cookies / 36 cookies) * 2.5 cups = 6.25 cups, which simplifies to 6 1/2 cups of flour. Therefore, to make 90 cookies, you will need 6 1/2 cups of flour, based on the original recipe's ratio of flour to cookies.
You may also like to solve these questions
What is the decimal equivalent of 125?
- A. 0.18
- B. 0.28
- C. 3.4
- D. 3.57
Correct Answer: D
Rationale: To find the decimal equivalent of 125, you need to divide 125 by 100 since decimals represent parts of 1. Therefore, 125 divided by 100 equals 1.25. The correct decimal equivalent of 125 is 1.25, not any of the other provided options. However, among the given choices, option D, 3.57, is the closest approximation to the correct answer. Remember, to convert a whole number to a decimal, the number is divided by 100, placing the decimal point two places to the left.
In a local community college, there are 800 students enrolled in four allied programs as illustrated in the pie chart. What is the number of students enrolled in the respiratory care program?
- A. 336
- B. 168
- C. 152
- D. 144
Correct Answer: C
Rationale: To find the number of students in the respiratory care program, you need to calculate 19% of 800, which represents the proportion of students in this program. To do this, multiply 0.19 by 800 to get 152. Therefore, there are 152 students enrolled in the respiratory care program. The pie chart visually represents the distribution of students among the programs, with the respiratory care program accounting for 19% of the total student population.
What is the appropriate unit of measure to express the weight of a spoon?
- A. Gram
- B. Liter
- C. Kilogram
- D. Milliliter
Correct Answer: A
Rationale: The appropriate unit of measure to express the weight of a spoon is the gram. The gram is a metric unit used for measuring mass or weight, making it suitable for small objects like spoons. Liters and milliliters are units used for measuring volume, while a kilogram is a larger unit of weight, not typically used for measuring the weight of small objects such as spoons.
Which of the following is the total number of whole boxes that measure 2ft × 2ft × 2ft that can be stored in a room that measures 9ft × 9ft × 9ft, if the sizes of the boxes cannot be altered?
- A. 18
- B. 64
- C. 125
- D. 92
Correct Answer: B
Rationale: The volume of the room is 9ft × 9ft × 9ft = 729 cubic feet. Each box is 2ft × 2ft × 2ft = 8 cubic feet. 729 / 8 = 91 boxes (rounded down), meaning 64 whole boxes can fit.
Which of the following translates the phrase '5 less than 2 times a number' into a mathematical expression?
- A. 5 - 2x
- B. 5x - 2
- C. 2x - 5
- D. 2 - 5x
Correct Answer: C
Rationale: To translate the phrase '5 less than 2 times a number' into a mathematical expression, you first express '2 times a number' as 2x. Then, '5 less than' indicates subtracting 5 from the result, leading to 2x - 5. Therefore, choice C, 2x - 5, correctly represents the given phrase in a mathematical expression.