in a coin jar, there are 45 nickles. the number of pennies and nickles together equal the number of dimes. there are 2 quarters for every 3 nickles and 2 dimes for every quarter. how many are there of each type of coin?

(hurry! ) which expression is equivalent to the following complex fraction?

If 20% of a number is 35, what is 50% of that number?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."