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.