Q: Hugo can fold a small box in 3 seconds and a medium one in twice that time. Tom can fold both the small and medium boxes in 4 seconds. If Hugo and Tom want to leave as early as possible, how long (in seconds) will it take them to fold 2400 small boxes and 1800 medium boxes?
A: If it takes Hugo twice the amount of time to fold a medium box than a small box, then he needs 2 * 3 = 6 seconds for the medium box. If Tom can fold either the small or medium box in 4 seconds, then he's faster at folding the medium box than Hugo because 4s < 6s. If Hugo can fold the small box in 3 seconds, then he's faster at folding the small boxes than Tom because 3s < 4s. Therefore Hugo should fold all small boxes and Tom should fold all the medium ones before doing the other size where they are slower. If there are 2400 small boxes and Hugo can fold 1 box in 3 seconds, then it would take him 2400 * 3 = 7200 seconds to fold all boxes. If there are 1800 medium boxes and Tom can fold 1 box in 4 seconds, then it would take him 1800 * 4 = 7200 seconds to fold all medium boxes. Given that they need the same amount of time to fold all boxes, and are doing it simultaneously they will need 7200 seconds to fold all the boxes. The answer is 7200.
Question: There's an online sale where you get $10 for every $100 that you spend. If you make a purchase of $250 before discounts, how much did you end up paying?
Answer: If for every $100 spent I save $10, then for $250 spend I'd save $10 * 2 = $20. If my total was $250, then I ended up paying $250 - $20 = $230. The answer is 230.
[Question]A local bookshop is selling off its old inventory in order to bring in newer books. They currently have 743 books in their store. They sold 37 books in-store on Saturday and sold 128 books online. On Sunday, they sold twice as many books in-store and increased their online sales by 34 books. They also received a shipment of 160 books. How many books do they currently have?
[Answer]On Sunday they sold twice as many books in - store as the 37 books on Saturday so they sold 2 * 37 = 74. They sold 128 books online on Saturday and increased that number by 34 books on Sunday for a total of 128 + 34 = 162. Over the weekend they sold 37 + 128 + 74 + 162 = 401 books. They started off with 743 books and sold 401 books which brings the inventory to 743 - 401 = 342 books. They have 342 books and received a shipment for 160 bringing their inventory to 342 + 160 = 502 books. The answer is 502.
Q: An agricultural cooperative must ship 6500 kg of potatoes. During transport by truck, 150 kg are damaged and therefore cannot be sold. The potatoes are distributed in 50 kg bags, each bag being sold for $72. What will the sale of the potatoes bring?
A: There are 6500 kg – 150 kg = 6350 kg of sellable potatoes. These will fit into 6350 kg / 50 kg / bag = 127 bags. In total, these will be sold for 127 bags * $72 / bag = $9144. The answer is 9144.
Question: The ratio of boys to girls in a math class is 5:8. How many girls are in the class if the total number of students in the class is 260?
Answer: If the ratio of boys to girls in the math class is 5:8, the total ratio of the number of boys and girls in the math class is 5 + 8 = 13. The fraction that represents the number of boys in the class is 5 / 13, and since there are 260 students in the class, the number of boys in the class is 5 / 13 * 260 = 100. The number of girls in the class is 260 - 100 = 160. The answer is 160.
Q: Nellie had 380 legos, but she lost 57 of them and gave her sister 24 legos. How many legos does she have now?
A:
After losing 57 legos, Nellie has 380 - 57 = 323 legos. After giving her sister 24 legos Nellie has 323 - 24 = 299 legos. The answer is 299.