Question: A blacksmith has 400kg of iron to make horseshoes for neighbouring farms and stables. There are 2 farms nearby, each of which has 2 horses. There are 2 stables nearby which all have 5 horses each. While the blacksmith is crafting, a riding school reaches out and asks for as many horseshoes as possible for their own horses. The blacksmith promises to give them however many horseshoes he has left when he has finished his orders for the farms and stables. If each horseshoe needs 2kg of iron, how many horses will get new horseshoes at the riding school?
Answer: The blacksmith can create a total of 400kg iron / 2kg iron per horseshoe = 200 horseshoes. The farms need enough horseshoes for 2 farms * 2 horses each = 4 horses. The stables need enough horseshoes for 5 stables * 2 horses each = 10 horses. So in total, the farms and stables have 4 + 10 = 14 horses that need horseshoes. This is a total of 14 horses * 4 horseshoes per horse = 56 horseshoes. This means the blacksmith has 200 total horseshoes 56 horseshoes for the stables and farms = 144 horseshoes left for the riding school. The riding school therefore will have enough horseshoes for 144 horseshoes / 4 horseshoes per horse = 36 horses. The answer is 36.
[Question]It took Alice three months to save up to buy new shoes. If she saved 10 dollars the first month and 30 more each month, how much did she have saved by the end of the third month?
[Answer]The first month she saved 10 dollars. By the second month, she had 10 + 30 = 40 dollars saved. By the third month, she had 40 + 30 = 70 dollars saved. The answer is 70.
Q: A pack of dogs found a pile of bones in the dumpster behind the butcher shop. One by one, the dogs crawled into the dumpster, grabbed a mouthful of bones, and ran off with their newfound treasure. In all, there were 5 dogs. The first dog carried off 3 bones. The second dog carried off 1 less bone than the first dog. The third dog carried off twice as many as the second dog. The fourth dog carried off one bone, and the fifth dog carried off twice the number of bones as the fourth dog carried, leaving no remaining bones in the dumpster. How many bones were in the original pile of bones?
A: The second dog carried off 1 less bone than the first dog, or 3 - 1 = 2 bones. The third dog carried off twice as many bones as the third dog, or 2 * 2 = 4 bones. The fifth dog carried off twice the number of bones as the fourth dog carried, or 2 * 1 = 2 bones. Therefore, the original pile of bones contained 3 + 2 + 4 + 1 + 2 = 12 bones. The answer is 12.
Question: Mrs. Lopez and her family are going to the movie theatre. Adult tickets are $11. Children's tickets (ages 3-12) are $8. Senior citizen's tickets (ages 60+) are $9. Mrs. Lopez needs to buy movie tickets for her husband, herself, her parents (ages 72 and 75), and her three children (ages 7, 10, 14). How much money does she need to buy everyone's tickets?
Answer: Mrs. Lopez needs to buy two adult tickets for $11 x 2 = $22. She needs to buy two senior citizen tickets for $9 x 2 = $18. She needs to buy three children's tickets for $8 x 3 = $24. For everyone's tickets, Mrs. Lopez needs to spend $22 + $18 + $24 = $64 for seven tickets. The answer is 64.
[Question]Heather helps her neighbour pick weeds out of her garden. She gets paid 5 cents for every weed she picks. On average, how many seconds can she take to pick a weed if she wants to earn $10 an hour?
[Answer]In an hour, she needs to earn $10 * 100 cents / $1 = 1000 cents. In an hour, she must pick 1000 cents / 5 cents = 200 weeds. There are 1hr * (60 minutes / 1 hr) = 60 minutes in an hour. There are 60 minutes * (60 seconds / 1 minute) = 3600 seconds in an hour. She has 3600 seconds / 200 = 18 seconds to pick each weed. The answer is 18.
[Question]The gummy bear factory manufactures 300 gummy bears a minute. Each packet of gummy bears has 50 gummy bears inside. How long would it take for the factory to manufacture enough gummy bears to fill 240 packets, in minutes?
[Answer]
The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = 6 packets of gummy bears per minute. It would take 240 / 6 = 40 minutes to manufacture enough gummy bears to fill 240 packets. The answer is 40.