Answer:
[tex]0.75x + 0.15y = 90[/tex]
greatest number of pens =120
greatest number of pencils = 600
Step-by-step explanation:
Let x represent the number of pens
Let y represent the number of pencils.
Each pen costs $0.75
Cost of x pens = 0.75 x
Each pencil costs $0.15.
Cost of y pencils = 0.15y
Now we are given that The glee club has $90 to spend on pens and pencils.
So, [tex]0.75x + 0.15y = 90[/tex]
So,t the equation that describes the number of club pens and pencils that the glee club can buy is [tex]0.75x + 0.15y = 90[/tex]
Part A) [tex]0.75x + 0.15y = 90[/tex]
Part B )What is the greatest number of each type of writing tool that the club can buy?
[tex]0.75x + 0.15y = 90[/tex]
Substitute y = 0
[tex]0.75x = 90[/tex]
[tex]x = \frac{90}{0.75}[/tex]
[tex]x = 120[/tex]
greatest number of pens =120
Substitute x = 0
[tex]0.15y= 90[/tex]
[tex]y = \frac{90}{0.15}[/tex]
[tex]y = 600[/tex]
greatest number of pencils = 600
