Wetzel

Math 102

7.7 – Applications

To Solve:

             1.)  Understand the problem. Organizing the given information by sketching a diagram, making a table, or just rewriting it and know exactly what the problem is asking you to find.

             2.)  Derive a plan to solve the problem.  This may not even require any writing.

             3.)  Carry your plan out.  Solve the problem!

              4.)  Completely answer the question making sure your answer makes sense!.  There may be more than one answer or an answer may not make sense so you would cancel it out.    Include any units in the answer.

Ex.:

Numbers

1.)  One positive number is nine larger than another positive number.  If the reciprocal of the smaller number is added to four times the reciprocal of the larger number, the sum is equal to .  Find the two numbers. 

Hourly Jobs

2.)  A company has printed out 500 surveys to be put into preaddressed envelopes and mailed out.  Dusty can fill all of the envelopes in 5 hours, Felipe can do the job in 6 hours, and Grady can do it in nine hours.  If all three work together, how long will it take them to stuff the 500 envelopes?

Distance

3.)  Selma is kayaking in a river that flows downstream at a rate of 1 mph.  Selma paddles 5 miles downstream and then turns around and paddles 6 miles upstream, and the trip takes 3 hours.

            a.)  How fast can Selma paddle in still water?

            b.)  Selma is now 1 mile upstream of her starting point.  How many minutes will it take her to paddle back to her starting point?