Question: Josh has 100 feet of rope. He cuts the rope in half, and then takes one of the halves and cuts it in half again. He grabs one of the remaining pieces and cuts it into fifths. He's stuck holding one length of the rope he's most recently cut. How long is it?
Answer: John starts with 100ft of rope that he cuts in half, meaning he has 100 / 2 = 50 - foot sections of rope. He then takes one of these sections and cuts it in half again, leaving him with two 50 / 2 = 25 - foot sections of rope. He then takes one of these sections and cuts it into fifths, leaving him with 25 / 5 = 5 foot sections of rope, one of which he is now holding. The answer is 5.
[Question]John runs a telethon to raise money. For the first 12 hours, he generates $5000 per hour. The remaining 14 hours, he generates 20% more per hour. How much total money does he make?
[Answer]He gets 12 * 5000 = $60000 for the first 12 hours. For the next 14 hours, he gets 5000 * .2 = $1000 more per hour. So he gets 5000 + 1000 = $6000 per hour. So he gets 6000 * 14 = $84000. So in total, he makes 84000 + 60000 = $144,000. The answer is 144000.
Q: Jack has $45 and 36 euros. If each euro is worth two dollars, how much money does he have total in dollars?
A: First find how much the euros are worth in dollars: 36 euros * $2 / euro = $72. Then add that to the amount Jack has in dollars: $72 + $45 = $117. The answer is 117.
Question: A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?
Answer: The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657. The answer is 6657.
[Question]Martha is making centerpieces for her Thanksgiving dinner. There are six centerpieces, and each centerpiece uses 8 roses, twice as many orchids as roses, and a certain number of lilies. If Martha wants to spend $2700 total, and each flower costs $15, how many lilies will she put in each centerpiece?
[Answer]First figure out how many total flowers Martha is going to buy by dividing her total spending by the price per flower: $2700 / $15 / flower = 180 flowers. Now figure out how many flowers are in each centerpiece by dividing the total number of flowers by the number of centerpieces: 180 flowers / 6 centerpieces = 30 flowers / centerpiece. Now figure out how many orchids are in each centerpiece by multiplying the number of roses per centerpiece by 2: 8 roses / centerpiece * 2 = 16 orchids / centerpiece. Now subtract the number of roses and orchids per centerpiece from the total number of flowers per centerpiece to find the number of lilies per centerpiece: 30 flowers - 16 orchids - 8 roses = 6 lilies. The answer is 6.
[Question]Angel has written letters to all of her pen pals and is putting all of the letters in envelopes. Most of the letters are put into large envelopes and the remaining 20 letters are put into small envelopes. The large envelopes each contain 2 letters each. If Angel has written a total of 80 letters, how many large envelopes did she use?
[Answer]
As some of the letters are in small envelopes, there must be 80 total letters – 20 letters in small envelopes = 60 letters in large envelopes. Angel therefore used 60 letters / 2 letters per large envelope = 30 large envelopes. The answer is 30.