Nokea
Ratio and Proportion: 450:15::225:X
- A. X=15
- B. X=75
- C. X=30
- D. X=60
Correct Answer: C
Rationale: To find X in the proportion 450:15::225:X, we need to set up a ratio equation. The ratio 450:15 simplifies to 30:1 (by dividing both sides by 15). So, the proportion becomes 30:1::225:X. To find X, we cross multiply: 30 * X = 225 * 1. Solving for X, we get X = 225/30 = 7.5. Therefore, the correct answer is C: X=30.
Rationale:
A) X=15 is incorrect because it does not follow the ratio relationship.
B) X=75 is incorrect as it is not the result of the ratio calculation.
D) X=60 is incorrect because it does not align with the correct ratio computation.
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Which of the following numbers is the largest?
- A. 0.6
- B. 0.0688
- C. 0.667
- D. 0.68
Correct Answer: D
Rationale: To determine the largest number, compare the decimal parts individually. Among the given options, 0.6 is smaller than 0.68, 0.0688 is smaller than both 0.6 and 0.68, and 0.667 is smaller than 0.68. Therefore, 0.68 is the largest number among the options provided.
An artist sells paintings at $5.50 each. She has 7 stands in town and pays $35 per stand. What was her profit if she sold an average of 11 paintings per stand?
- A. $245
- B. $178.50
- C. $175
- D. $423.50
Correct Answer: B
Rationale: To calculate the profit per stand, we first find the total revenue per stand by multiplying the number of paintings sold (11) by the price per painting ($5.50), which equals $60.50. Then, we subtract the stand cost ($35) from the total revenue to find the profit per stand: $60.50 - $35 = $25.50. Since the artist has 7 stands, the total profit is $25.50 * 7 = $178.50. Therefore, the correct answer is $178.50. The profit per stand is determined by subtracting the stand cost from the total revenue generated from selling paintings. Multiplying this profit per stand by the number of stands gives the total profit. In this scenario, the artist's profit from selling an average of 11 paintings per stand would amount to $178.50.
Karen goes to the grocery store with $40. She buys 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. $31.90
- 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 her purchases from the amount she started with. The total cost of her purchases is calculated by adding the prices of the carton of milk, loaf of bread, and bunch of bananas: $1.85 + $3.20 + $3.05 = $8.10. By subtracting $8.10 from the $40 Karen started with, we get $31.90. Therefore, Karen has $31.90 left after buying the items.
Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
Convert the military time 0056 to 12-hour time.
- A. 12:56 P.M.
- B. 12:56 A.M.
- C. 1:56 A.M.
- D. 1:56 P.M.
Correct Answer: B
Rationale: Military time 0056 represents 12:56 A.M. in the 12-hour clock format. When converting from military time to the 12-hour clock, you keep the hour as is if it's 1 to 12. In this case, 0056 corresponds to just after midnight, so it's 12:56 A.M. The 'A.M.' indicator signifies the time is in the morning.