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Lesson25

# Lesson25 - Summer Lesson 25 MA 152 Appendix G Section 2.8...

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1 Summer Lesson 25 MA 152, Appendix G, Section 2.8 Many application problems can be solved by using a system of equations. Usually the addition method or the substitution method is used to solve the problem. STEPS: 1. Define two variables for the problem. 2. Write two equations representing statements from the problem. 3. Solve using either the substitution method or the addition method. 4. Answer the question posed in the problem. Ex 1: A rectangular soccer field has a perimeter of 360 yards. Its length is 20 yards more than its width. What are the dimensions of the field? w = width L = length Ex 2: In 2002-2003, the average total SAT score for high school students was 1026, with the average math score exceeding the verbal score by 12 points. What were the average math score and average verbal score on the SAT for that year? *Source: College Entrance Examination Board

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2 Ex 3: In his motorboat, Nigel travels upstream at top speed to his favorite spot, a distance of 36 miles, in two hours. Returning downstream, still at top speed, the trip only takes 3/2 hours. Find the top speed of the boat (as if it was in still water) and the speed of the current. Rate Time Distance upstream downstream Ex 4: At a local diner, 2 cheeseburgers and 4 french fries cost \$13.20. Three cheeseburgers and 3 fries cost \$14.10. Find the cost of a single cheeseburger and a single fries.
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Lesson25 - Summer Lesson 25 MA 152 Appendix G Section 2.8...

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