Question

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

Answer 1

Let the number of plain pennants be X and fancy pennants be Y.

4x + 8y = 168

x + 2y = 42                         (I)

x + y = 30                          

x = 30-y                             (2)

substituting 2 in 1

30 - y + 2y = 42

2y - y = 42 - 30

y = 12

12 students bought fancy pennants