SOLUTION: Please help me solve this word problem. 30 students bought pennants. The plain pennants cost $4. The fancy pennants cost $8. The total cost if all pennants is $186. How many

Algebra ->  Equations -> SOLUTION: Please help me solve this word problem. 30 students bought pennants. The plain pennants cost $4. The fancy pennants cost $8. The total cost if all pennants is $186. How many      Log On


   

Question 368247: Please help me solve this word problem.
30 students bought pennants.
The plain pennants cost $4.
The fancy pennants cost $8.
The total cost if all pennants is $186.
How many fancy pennants were purchased?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let P be the number of plain pennants, F fancy pennants.
Total number of pennants:
1.P%2BF=30
Total value of pennants:
4P%2B8F=186
2.2P%2B4F=93
Multiply eq. 1 by (-2) and add to eq. 2,
-2P-2F%2B2P%2B4F=-60%2B93
2F=33
F=33%2F2
There is a problem with your problem setup.
The expected numbers for P and F are integers unless someone buys 1/2 of a pennant.
Please check the problem and re-post.