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Anvisha
21 day ago
8

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 =
Mathematics
2 answers:
Zina [9.1K]21 day ago
8 0

Answer:

[[IMG_1]]

The relevant equation is: b. 0.75x + 0.15y = 90

AnnZ [9K]21 day ago
4 0

Answer:

0.75x + 0.15y = 90

The highest number of pens = 120

The highest number of pencils = 600

Step-by-step explanation:

Let x denote the number of pens

Let y represent the number of pencils.

Each pen requires $0.75

Therefore, the total cost for x pens is 0.75 x

Each pencil costs $0.15.

Thus, the total cost for y pencils is 0.15y

The glee club has a total budget of $90 for these supplies.

Consequently, 0.75x + 0.15y = 90

Thus, the equation explaining how many pens and pencils can be purchased by the club is 0.75x + 0.15y = 90

Part A) 0.75x + 0.15y = 90

Part B) Determine the maximum quantity of each writing instrument the club can acquire.

0.75x + 0.15y = 90

Setting y = 0 gives:

0.75x = 90

x = \frac{90}{0.75}

x = 120

The maximum number of pens = 120

Now, setting x = 0 yields:

0.15y= 90

y = \frac{90}{0.15}

y = 600

The maximum number of pencils = 600

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