Question: Princess Daphne bought three necklaces and a set of earrings for a total of $240,000. If all three necklaces were equal in price, and the earrings were three times as expensive as any one necklace, then how expensive was the cost of a single necklace?
Answer: Step-by-step reasoning process: Let "x" be the price of a single necklace. Thus, the cost of the earrings would be 3x. And since all items totaled $240,000, then x + x + x + 3x = $240,000. Therefore, this simplifies to 6x = 240,000. And, solving for x we see that the price of a single necklace is x = $40,000.
So the answer is 40000.

Question: Nancy replaced all of the old vinyl tiles in her bathroom with new hardwood flooring. She replaced flooring in two areas of the bathroom: a 10 foot by 10 foot central area, and a 6 foot by 4 foot hallway. How many square feet of hardwood flooring did Nancy install in her bathroom?
Answer: Step-by-step reasoning process: 10 feet by 10 feet central area is 10 * 10 = 100 square feet of space. 6 feet by 4 feet hallway is 4 * 6 - 24 square feet of space. Combined, the two areas where she replaced flooring contain 100 + 24 = 124 square feet of space.
So the answer is 124.

Question: There are 400 students in a local high school. 50 percent are freshmen or sophomores. 1/5 of freshmen and sophomores own a pet. How many freshmen and sophomores do not own a pet?
Answer: Step-by-step reasoning process: Freshman / Sophomores:400(.50) = 200 students. Have pets:200 / 5 = 40 students. 200 - 40 = 160 do not have pets.
So the answer is 160.

Question: Samuel has $5, $10, and $20 bills which amount to $150 in his wallet. His $10-bills amount to $50, and he has 4 $20-bills. How many bills does Samuel have in his wallet?
Answer:
Step-by-step reasoning process: His $20 bills amount to 4 x $20 = $80. So the total amount of the $10 and $20 bills is $80 + $50 = $130. Hence, the remaining $5 bills amount to $150 - $130 = $20. This means that there are $20 / $5 = 4 $5 bills. There are also $50 / $10 = 5 $10 bills. Therefore, Samuel has 4 + 4 + 5 = 13 bills in his wallet.
So the answer is 13.