Question

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 pen

Answer 1

number o students bought pennants = 18

number of student bought fancy ones=12

Explanation:

Let x be the number o students bought pennants

and y be the number of student bought fancy ones

total 30 students

`x+y= 30`

`y=30-x`

Plain pennants cost $4 each and fancy ones cost $8 each.

`4x+8y=168`

Substitute 30-x for y in second equation

`4x+8(30-x)=168`

`4x+240-8x=168`

`240-4x=168`

Subtract 240 from both sides

`-4x=-72`

divide both sides by -4

x=18

`y=30-x`

`y=30-18= 12`

number o students bought pennants = 18

number of student bought fancy ones=12