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

Respuesta :

Answer:

number o students bought pennants = 18

 number of student bought fancy ones=12

Step-by-step explanation:

Let x be the number o students bought pennants

and y be the number of student bought fancy ones

total 30 students

[tex]x+y= 30[/tex]

[tex]y=30-x[/tex]

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

[tex]4x+8y=168[/tex]

Substitute 30-x for y in second equation

[tex]4x+8(30-x)=168[/tex]

[tex]4x+240-8x=168[/tex]

[tex]240-4x=168[/tex]

Subtract 240 from both sides

[tex]-4x=-72[/tex]

divide both sides by -4

x=18

[tex]y=30-x[/tex]

[tex]y=30-18= 12[/tex]

number o students bought pennants = 18

 number of student bought fancy ones=12