Question

The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils.

Part A
Select the equation that describes the number of club pens and pencils that the glee club can buy.

A. 0.15x + 0.75y = 90
B. 0.75x + 0.15y = 90
C. 0.90(x + y) = 90
Part B
What is the greatest number of each type of writing tool that the club can buy?

greatest number of pens =


greatest number of pencils =

Answer 1

part a: answer b. 0.75x + 0.15y = 90

Answer 2

`0.75x + 0.15y = 90`

greatest number of pens =120

greatest number of pencils = 600

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,
`0.75x + 0.15y = 90`

So,t the equation that describes the number of club pens and pencils that the glee club can buy is
`0.75x + 0.15y = 90`

Part A)
`0.75x + 0.15y = 90`

Part B )What is the greatest number of each type of writing tool that the club can buy?

`0.75x + 0.15y = 90`

Substitute y = 0

`0.75x = 90`

`x = (90)/(0.75)`

`x = 120`

greatest number of pens =120

Substitute x = 0

`0.15y= 90`

`y = (90)/(0.15)`

`y = 600`

greatest number of pencils = 600