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]The garbage truck passes through Daniel's neighborhood on Tuesdays, Thursdays, and Saturdays. In each garbage collection, an average of 200 kg is taken. Due to obstruction in the roads leading to Daniel's neighborhood, the garbage truck stops passing through for two weeks. During the first week, people in Daniel's neighborhood pile the extra garbage around the dumpster, during the second week they apply a policy of cutting their amount of garbage in half. How many kilograms of garbage have accumulated in Daniel's neighborhood during the 2 weeks?
[Answer]The garbage truck passes through Daniel's neighborhood for 3 days. In the first week, 200 * 3 = 600 kilograms of garbage are accumulated. In the second week, half the amount of garbage is accumulated, which is 600 / 2 = 300 kg of garbage. During the 2 weeks, 600 + 300 = 900 kg of garbage are accumulated. The answer is 900.
Q: Mr. Doré bought $140 worth of pants, a $43 shirt and a $15 tie. He pays with a $200 bill. How much will the saleswoman give him back?
A: The total expenses are $140 + $43 + $15 = $198. Mr. Doré paid $200, so the saleswoman must give him $200 - $198 = $2 back. The answer is 2.
Question: A chef has served 58 adults, 35 fewer children than the number of adults, and twice as many seniors as children. What is the total number of guests served?
Answer: The chef has served 58 - 35 = 23 children. The chef has served 23 x 2 = 46 seniors. Therefore, the total number of guests that the chef has served is 58 + 23 + 46 = 127. The answer is 127.
[Question]Tim sleeps 6 hours per day for 5 days a week and 10 hours a day for the other 2. How much total sleep does he get?
[Answer]He gets 6 * 5 = 30 hours of sleep on 5 days. He gets 10 * 2 = 20 hours the other days. So he got 30 + 20 = 50 hours. The answer is 50.
[Question]The lifespan of a hamster is 6 years less than that of a bat. The lifespan of a frog is 4 times that of a hamster. Altogether, the lifespan of the animals is 30 years. What is the lifespan of the bat?
[Answer]
Let’s set up an equation by calling the lifespan of a bat x, and therefore the lifespan of the hamster x – 6, and the lifespan of the frog 4 (x – 6) which add together to equal 30, like this: x + x – 6 + 4 (x – 6) = 30. That gives us 6x – 30 = 30 and we should add 30 to each side to try to isolate the x. Now we have 6x = 60, which we will divide by 6, 6x / 6 = 60 / 6. This gives us x = 10. The bat has a lifespan of 10 years. The answer is 10.