Math 105 Contemporary Mathematics Week 1 Section 2A
1. Eight branch offices of a bank are to be connected by secure satellite communications links so that any office can send confidential information to any other office. How many links are needed?
2.
Karen plans to purchase pizza for a party she is hosting. Pizza Hut sells medium pizzas (14″ diameter) for $10 and large pizzas (17″ diameter) for $14. A medium pizza has 8 slices and a large pizza has 12 slices. Only entire pizzas are sold. Assume the pizza slices are all about the same size.
a) Determine the maximum number of slices of pizza that Karen can purchase for $87 or less.
b) If the maximum number of slices determined in part (a) is purchased in the most economical way, how much will the pizzas cost
3.
Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows he has 22 animals and that 22 is also his age. He also knows that the animals have a total of 56 legs, because 56 is also his father’s age. Assuming that each animal has all legs intact and no more, how many of each animal does Farmer Ben have?
Solution
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