In this discussion, you will use problem-solving skills to solve a problem based on the first letter of your last name. Review the problem-solving resources below. Understanding how to approach problems using these techniques will help you solve many types of problems.
Upon successful completion of the course material, you will be able to:
First letter of your Last name
Solve the problem
Show and explain the steps you take to solve the problem; post your work and the solution.
A – D
A toll collector on a highway receives $3 for cars and $4 for buses. At the end of a 1-hour period, she collected $60. How many cars and buses passed through the toll booth during that period? List all possible solutions.
E – K
Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 km per hour and the other 100 km per hour. At the same time, a canary, starting on one car, flies back and forth between two cars as they approach each other. If the canary flies 120 km per hour and spends no time to turn around at each car, how far has it flown when the cars collide?
L – R
Suppose you are designing a rectangular garden and you have 22 meters of fencing with which to enclose the garden. Explain how a garden 7 meters long and 4 meters wide can be enclosed with the available fencing. What is the area of a garden with these dimensions? Using the 22 meters of fencing, what dimensions would provide the largest area for a garden?
S – Z
Consider the case in which each of two piles initially contains fifteen marbles, where one pile contains fifteen white marbles and the other pile contains fifteen black marbles. Suppose that on the first transfer, three black marbles are moved to the white pile. On the second transfer, any three marbles are taken from the white pile and put into the black pile. Demonstrate, with diagrams and words that you will always end up with as many white marbles in the black pile as black marbles in the white pile. List all possible solutions.
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