Transcript Applications of Systems of Equations

Applications of Systems of
Equations
Three Steps to solving applications
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Step 1: NAME YOUR VARIABLES!!
What are you looking for and what are
you going to call them in math
language?
Step 2: Write the number of
equations that equals the number of
variables.
Step 3: Line up variables and solve
using matrices OR solve for y and
graph.
Example 1
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You are selling tickets at a high
school football game. Student
tickets cost $2, and general
admission tickets cost $3. You sell
1957 tickets and collect $5035.
How many of each type of ticket did
you sell?
Example 2
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A collection of nickels and dimes is
worth $3.30. There are 42 coins in
all. How many of each coin are
there?
Example 3
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The perimeter of a lot is 84 feet.
The length exceeds the width by 16
feet. Find the length and width of
the lot.
Example 4
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Three solutions contain a certain
acid. The first contains 10% acid,
the second 30%, and the third
50%. A chemist wishes to use all
three solutions to obtain a 50 – liter
mixture containing 32% acid. If the
chemist wants to use twice as much
of the 50% solution as the 30%
solution, how many liters of each
solution should be used?
Example 5
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The sum of two numbers is -11.
Twice the first number minus the
second is 32. Find the numbers.