I have two containers. One is 7 gallons, and one is 9 gallons. I need exactly 1 gallon of water from one of these containers but have no measuring devices. I have access to all the water I need, so the containers can be filled any way I choose. Is it possible to pour water back and forth between these containers to come up with exactly 1 gallon? If so, how can it be done? Remember—I can fill the containers at will and transfer the water back and forth between containers to come up with different amounts.
A local ice cream shop is having a special on sundaes. You can get two different flavors of ice cream in a large sundae for the price of one scoop. The featured flavors are:
Cherry Mint Vanilla Mocha Chocolate Strawberry
Jack and his sister, Lori, wondered how many different combinations of two scoops each a person could order. Can you help them out?
Four friends, Barbara, Bianca, Patty, and Tina, are nicknamed Reelo, Wheezie, Fly, and Blaze— but not necessarily in that order. Based on the clues below, what is the nickname of each friend?
a. Patty can run faster than Reelo but can’t swim as fast as Fly.
b. Reelo is a faster swimmer than Tina but can’t run as fast as Wheezie.
c. Barbara is faster than both Patty and Blaze but can’t swim as fast as Reelo.
A jogger trains by running through several small towns. He runs two different routes from Alser to Bahnsen. He knows three different routes from Bahnsen to Corning. From Corning to Denton, he knows five different running paths. How many different paths does he know from Alser to Denton?
25) Two old men A and B met on the bus. A asked B if he could guess exactly the ages of A's sons and gave B clues:
A: I have three sons. The product of their ages is 36 and the sum of their ages is the number of the bus we are sitting in.
B: Of course I know the number of the bus, but I can't still guess their ages. Can you give one more detail?
A: The biggest child has blue eyes
B: Now I get it! Their ages are...
Knowing that A and B are very intelligent. Can you explain how B found their ages and tell me what is the number of the bus?