Keisha the trainer has two solo workout plans that she offers her clients: plan a and plan b. each client does either one or the other (not both). on wednesday there were 2 clients who did plan a and 3 who did plan b. on thursday there were 6 clients who did plan a and 5 who did plan b. keisha trained her wednesday clients for a total of 6 hours and her thursday clients for a total of 12 hours. how long does each of the workout plans last?

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."

Acoin bank containing only dimes and quarters has 12 more dimes than quarters. the total value of the coins is $11. how many quarters and dimes are in the coin bank?

What value of x is in the solution set of 4x – 12 s 16 + 8x?