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MA 220, Lesson 6, Sections 2.1 and 2.3
Solving Applied Problems
Steps for solving an applied problem
1.
Read the problem; carefully noting the information given and the questions asked.
2.
Let a variable represent the unknown (or one of the unknowns) you are asked to find.
3.
Think of a sentence or formula that relates the information given and the unknown(s).
4.
From this plan, write and equation and solve.
5.
Check your solution to ensure it is reasonable.
Ex 1: The sum of two consecutive even integers is 166.
Find the two integers.
n
= smallest of two integers
n
+ 2 = largest of two integers
Plan:
smallest + largest = sum
Ex 2: The bill for an auto repair was $403 (before any taxes).
The cost of part was $225.
The
mechanic charged $50 for the first hour of labor, then $32 per hour for each additional
hour of labor to repair the car.
How many hours total did it take to repair the automobile?
h
= total number of hours
Plan:
parts + first hour’s labor + additional labor = total bill before taxes
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 Spring '08
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