[Question]Haylee has 3 dozen guppies in her aquarium. Jose has half as many guppies as Haylee in his tank. Charliz has one-third of what Jose has in his tank. Nicolai has 4 times as many guppies as Charliz in his pond. How many guppies do the four friends have altogether?
[Answer]Haylee has 3 x 12 = 36 guppies. Jose has 36 / 2 = 18 guppies. Charliz has 18 / 3 = 6 guppies. Nicolai has 6 x 4 = 24 guppies. Altogether, the four friends have 36 + 18 + 6 + 24 = 84 guppies. The answer is 84.
Q: Tanesha needs to buy rope so cut into 10 pieces that are each six inches long. She sees a 6-foot length of rope that cost $5 and also sees 1-foot lengths of rope that cost $1.25 each. What is the least she has to spend to get the rope she needs?
A: She needs 60 inches of rope because 10 x 6 equals 60. The six - foot length of rope is 72 inches long because 6 x 12 = 72. The six - foot length of rope would give her 12 pieces because 72 / 6 = 12. The six - foot length is long enough because 12 > 10. Each 1 - foot rope equals 12 inches. She would need 5 of the 1 - foot ropes because 60 / 12 = 5. If she bought one - foot ropes it would cost $6.25 because 5 x 1.25 = 6.25. The cheapest rope to buy is the 6 - foot rope because 5 < 6.25. The answer is 5.
Question: A store puts out a product sample every Saturday. The last Saturday, the sample product came in boxes of 20. If they had to open 12 boxes, and they had five samples left over at the end of the day, how many customers tried a sample if the samples were limited to one per person?
Answer: The store opened 12 boxes of 20 products, so they put out 20 * 12 = 240 product samples. They had 5 samples left over, so 240 - 5 = 235 samples were used. Each customer could only have one sample, so 235 * 1 = 235 customers tried a sample. The answer is 235.
[Question]Cameron guides tour groups in a museum. He usually answers two questions per tourist. Today, he did four tours. The early morning first group was only 6 people. The following group was a busy group of 11. The third group had 8 people, but one was inquisitive and asked three times as many questions as usual. The last group of the day was a late group of 7. How many questions did Cameron answer?
[Answer]Cameron answered 2 * 6 = 12 questions for the first group. He answered 2 * 11 = 22 questions for the second group. The third group had 8 - 1 = 7 tourists that asked 2 questions each. The third group also had 1 tourist that asked 2 * 3 = 6 questions. Thus, the third group asked 7 * 2 + 6 = 14 + 6 = 20 questions. The last group asked 7 * 2 = 14 questions. For all four tours, Cameron answered 12 + 22 + 20 + 14 = 68 questions. The answer is 68.
Q: A basketball team won 35 out of the 50 games that they have played. They still have 25 games left to play for the season. How many of the remaining games must they win so that their percentage of wins in the entire season is 64%?
A: There are a total of 50 + 25 = 75 games in the entire season. Sixty - four percent of these games is 75 x 64 / 100 = 48. Since they already won 35, then the team needs to win 48 - 35 = 13 more games. The answer is 13.
Question: The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
Answer:
Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.