[Question]The three angles of a triangle add up to 180 degrees. The largest angle is 5 times bigger than the smallest. The middle angle is 3 times bigger than the smallest. How many degrees is the smallest angle?
[Answer]Let x be the smallest angle. The combination of the three is x + 3x + 5x = 9x. Thus 9x = 180. So x = 20. The answer is 20.
Q: A factory uses robots to manufacture batteries. For each battery that is made, it takes a robot 6 minutes to gather the materials for the battery and 9 minutes to create the battery. If the factory has 10 robots working on batteries at the same time, how many batteries can the robots manufacture in 5 hours?
A: For each battery that a robot makes, it takes 9 + 6 = 15 minutes to create the battery. In 60 minutes, one robot can make 60 / 15 = 4 batteries per hour. If the factory uses 10 robots at the same time, then they can produce 10 * 4 = 40 batteries per hour. At a rate of 40 batteries per hour, 10 robots can produce 40 * 5 = 200 batteries in 5 hours. The answer is 200.
Question: Johnson has a sack of potatoes. He gives Gina 69 potatoes, gives Tom twice as much potatoes as he gave Gina and gives one-third of the amount of potatoes he gave Tom to Anne. How many potatoes does he have left if the sack contains 300 potatoes?
Answer: He gives twice 69 potatoes to Tom, which is 69 * 2 = 138 potatoes. He gives one - third of 138 potatoes to Anne, which is 138 * (1 / 3) = 46 potatoes. In total, he has given out 69 + 138 + 46 = 253 potatoes. He initially had 300 potatoes so he now has 300 - 253 = 47 potatoes left. The answer is 47.
[Question]Cheyenne is a craftswoman making pots for sale. On a particular week, she made 80 clay pots. However, when she put them in the sun to dry, 2/5 of the pots cracked and could not be sold. How much money did Cheyenne make from selling the remaining items at $40 per clay pot?
[Answer]When she put them in the sun to dry, 2 / 5 * 80 = 32 of the clay pots that Cheyenne made cracked and could not be sold. The number of pots that were good for sale is 80 - 32 = 48. If she sold each clay pot at $40, she earned $40 * 48 = $1920 from selling the good pots. The answer is 1920.
Q: A case of water contains 24 bottles. A children's camp comprising of 4 groups purchased 13 cases for a 3-day camp. The first group has 14 children, the second group has 16 children, the third group has 12 children, and the fourth group has half of the number of the first three groups combined. If each child consumes 3 bottles a day, how many more bottles of water does the camp organizer still need to buy?
A: The first three groups have a total of 14 + 16 + 12 = 42 children. The fourth group has 42 / 2 = 21 children. All together, the camp has 42 + 21 = 63 children. In one day, the children consume 3 x 63 = 189 bottles of water. In 3 days, the children will need 189 x 3 = 567 bottles of water. The camp organizer has already purchased 13 x 24 = 312 bottles of water. The camp organizer must buy another 567 - 312 = 255 bottles of water. The answer is 255.
Question: Vaishali has 4 hats, each with three stripes. She also has three hats with four stripes each, six hats with no stripes, and another two hats with 5 stripes each. What is the combined total number of stripes Vaishali has on all of her hats?
Answer:
Four hats, each with three stripes, is 4 * 3 = 12 stripes. Three hats with four stripes each is 3 * 4 = 12 stripes. Six hats with no stripes is 6 * 0 = 0 stripes. And two hats with 5 stripes each is 2 * 5 = 10 stripes. The combined total number of stripes Vaishali has on all of her hats is 12 + 12 + 0 + 10 = 34 stripes. The answer is 34.