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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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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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Ex 5:

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