[Question]Tanesha needs to buy rope so cut into 10 pieces that are each six inches long. She sees a 6-foot length of rope that cost $5 and also sees 1-foot lengths of rope that cost $1.25 each. What is the least she has to spend to get the rope she needs?
[Answer]She needs 60 inches of rope because 10 x 6 equals 60. The six - foot length of rope is 72 inches long because 6 x 12 = 72. The six - foot length of rope would give her 12 pieces because 72 / 6 = 12. The six - foot length is long enough because 12 > 10. Each 1 - foot rope equals 12 inches. She would need 5 of the 1 - foot ropes because 60 / 12 = 5. If she bought one - foot ropes it would cost $6.25 because 5 x 1.25 = 6.25. The cheapest rope to buy is the 6 - foot rope because 5 < 6.25. The answer is 5.
Q: A hurricane is approaching the southern coast of Texas, and a rancher is planning to move 400 head of cattle 60 miles to higher ground to protect them from possible inland flooding that might occur. His animal transport truck holds 20 head of cattle. Traveling at 60 miles per hour, what is the total driving time, in hours, it will take to transport all of his cattle to higher ground?
A: Given the limited capacity of his transport vehicle (20 head of cattle), the 400 head of cattle will require 400 / 20 = 20 trips using his transport vehicle. Traveling to the site at 60 mph for 60 miles it will take 60 / 60 = 1 hour to travel one - way. Since each trip requires driving to and returning from the relocation site, each complete round trip will take 2 * 1 = 2 hours. Thus, 20 complete trips will take 20 * 2 = 40 hours of driving time. The answer is 40.
Question: Zack's number of marbles can be divided equally among three people, leaving Zack with 5. If Zack decided to give his three friends 20 marbles each and kept five, how many marbles did he initially have?
Answer: If Zack decided to give his three friends 20 marbles each, he gave them 3 * 20 = 60 marbles. If he kept five, Zack initially had 60 + 5 = 65 marbles. The answer is 65.
[Question]Ron ate pizza with his friends the other day. If they ordered a 12-slice pizza and each of them ate 4 slices, how many friends were there with Ron?
[Answer]Let the number of friends that ate with Ron be represented by F. That means the total amount of people that ate that day were 1 + F. If each of them ate 4 slices, and the pizza only has 12 slices, that means there could only have been 12 / 4 = 3 people eating. If the total number of people eating was 3, and if was also represented by 1 + F then we have 3 = 1 + F. Solving for F we have 3 - 1 = F. F = 2 friends ate with Ron. The answer is 2.
Q: Sally, Sam, and Steve went to play with their marbles. In the beginning, Sam has twice as many marbles as Steve while Sally has 5 less than Sam. After Sam has given Sally and Steve 3 marbles each, Sam has 8 marbles left. How many marbles does Steve have now?
A: Sam has 8 marbles left after giving 3 marbles / person x 2 people = 6 marbles to Sally and Steve. Hence, Sam had 8 marbles + 6 marbles = 14 marbles in the beginning. Sam had twice as many marbles as Steve, therefore Steve has 14 marbles / 2 = 7 marbles in the beginning. So now, Steve has a total of 7 marbles + 3 marbles = 10 marbles after Sam gave him 3 marbles. The answer is 10.
Question: A chocolate box contains 200 bars. Thomas and his 4 friends take 1/4 of the bars and decide to divide them equally between them. One of Thomas's friends doesn't like chocolate bars very much and returns 5 of his bars to the box. Later, his sister Piper comes home and takes 5 fewer bars than those taken in total by Thomas and his friends so she can also share with her friends. What's the total number of bars left in the box?
Answer:
Thomas and his friends took 1 / 4 * 200 = 50 bars. The total number of bars left in the box was 200 - 50 = 150 bars. Since there are five of them sharing, each of them got 50 / 5 = 10 bars. After a friend returned 5 bars, there were 150 + 5 = 155 bars in the box. Piper took five fewer bars, that is 50 - 5 = 45 bars. The total remaining bars left in the box is 155 - 45 = 110 bars. The answer is 110.