SOLUTION: Thirty students bought pennants for the football game. Plain pennants cost $4 each and fancy ones cost $8 each. If the total bill was $168, how many students bought the fancy penna

Question 162161: Thirty students bought pennants for the football game. Plain pennants cost $4 each and fancy ones cost $8 each. If the total bill was $168, how many students bought the fancy pennants.
Found 2 solutions by tutor_paul, jojo14344:
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Let x=number of students who bought fancy pennants.
Let y=number of students who bought plain pennants.
============================
From the information given, you can write the following equation:
Equation#1:
============================
From the information given, you can also write the following equation:
Equation#2:
============================
Now, this is a problem of 2 equations and 2 unknowns. Any time you can develop as many equations as you have unknowns, you can solve the problem!
============================
Use the substitution method. First, solve Equation #1 for y:

Substitute this expression for y into Equation #2:

Solve for x and you are done:

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Good Luck,
tutor_paul@yahoo.com
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Total Pennants sold: ----------> EQN 1
In EQN 1, we get,
--------------------------> EQN 2
Also,
-----------------------> EQN 3
Subst. EQN 2 in EQN 3:

Via EQN 2:

In doubt? Go back EQN 3,

Thank you,
Jojo
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