Substitution: RealWorld Problems
Learning Target
I CAN solve realworld problems
leading to systems of
linear equations.
You have learned to write single equations in two
variables. You can use this skill to write two equations
in two variables, as the following example shows.
At a carnival, 700 tickets were sold
for a total amount of $5,500. An
adult ticket cost $10 and a
children’s ticket cost $5. Find the
number of adult tickets and the
number of children’s tickets sold.
Determining and Analyzing What
the Important Information is!!!
This problem gives you data about the numbers
of tickets and the prices of tickets, so the given
information can be organized into a table. Let
the two variables represent the number of
adult tickets sold and the number of children’s
tickets sold, because this is what you are asked
to find.
Let a be the number of adult tickets sold and c
be the number of children’s tickets sold.
Real-World Example #2
Think-Pair-Share
You and your partner can choose any two
problems from problems #29 – 38 on page 380.
Both of you must show your work, provide your
explanations, and provide your answers on your
own paper. You may help each other and work
together on the two problems that you choose.
Again, even though you are working in pairs,
each individual student is required to produce
their own work. Please be prepared to share
your work tomorrow with the entire class 