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

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

$x+y= 30$

$y=30-x$

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