Problem

On the April 24, 1999, edition of the Car Talk radio show, Tom and Ray presented a puzzler...

On the April 24, 1999, edition of the Car Talk radio show, Tom and Ray presented a puzzler concerning a fellow who visited a nursery for advice concerning a new lawn. The following scenario is an adaptation of that puzzler. Mike wants to have a lush, new lawn for the Fourth of July. Since it is already May 30, it is too late for grass seed, and sod is too expensive for his budget. Matt, the nursery worker, suggests a new product—a small plug of grass that doubles in size every day. After consulting a diagram of the yard. Matt does some calculations, and reports his conclusion. If Mike plants only one plug on June 1, he will have the lawn he desires on June 30. Being a bit nervous, Mike decides to buy two, just to be on the safe side. If Mike plants two grass plugs on June 1, on what day will he have his new lawn?

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Solutions For Problems in Chapter 3.3