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Holiday Shopping It is December 1 and John needs to begin his holiday shopping. He intends to purchase gifts for three people: his girlfriend, Melissa;

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Holiday Shopping It is December 1 and John needs to begin his holiday shopping. He intends to purchase gifts for three people: his girlfriend, Melissa; his mother, Ruth; and his father Don. He doesn't want to spend more than a total of $325 including the 7% sales tax. If John were to spend the $325 equally among the three people, approximate the amount that would be spent on each person. a) If John were to spend the $325 equally among the three people, determine the maximum amount, before tax, that he could spend on each person and not exceed the maximum of $325, including tax. b) John decides to get a new set of wrenches for his father. He sees the specific set he wants on sale at Sears. He calls four Sears stores to see if they have the set of wrenches in stock. They all reply that the set is out of stock. He decides that calling additional Sears stores is useless because he believes that they will also tell him that the set of wrenches is out of stock. What type of reasoning did John use in arriving at his conclusion? Explain. c) John finds an equivalent set of wrenches at a True Value hardware store. The set he is considering is a combination set that contains both standard U.S. size and metric size wrenches. The store's regular price before tax is $62 for the set, but it is selling them for 10% off the regular price. He can also purchase the same wrenches by purchasing two separate sets, one for standard U.S. size wrenches and the other for met- ric sizes. Each of these sets has a regular price, before tax, of $36, but both are on sale for 20% off their regular prices. Can John purchase the combination set or the two individual sets less expensively? d) How much will John save, after tax, by using the less expensive method? e)

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