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Charra [1.4K]
3 years 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:
Deffense [45]3 years ago
8 0

Answer:

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

castortr0y [4]3 years ago
4 0

Answer:

0.75x + 0.15y = 90

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, 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 = \frac{90}{0.75}

x = 120

greatest number of pens =120

Substitute x = 0

0.15y= 90

y = \frac{90}{0.15}

y = 600

greatest number of pencils = 600

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Each of these problems expresses a proportion and asks you to find a missing value. You are given, for example, <em>value 1</em> and <em>related value 1.</em> You are asked to find <em>value 2</em> that corresponds to <em>related value 2</em>.

<em>Solving the Proportion</em>

Expressed as a proportion, this looks like ...

... (<em>value 1</em>)/(<em>related value 1</em>) = (<em>value 2</em>)/(<em>related value 2</em>)

If you multiply both sides of this equation by <em>related value 2</em>, you can find <em>value 2</em>.

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<em>Another way to think about it</em>

I like to think of the <em>related values</em> as making a fraction. If the <em>related value 2</em> is larger than <em>related value 1</em>, the fraction is greater than 1 and the <em>value 2</em> will be larger than <em>value 1</em>. (This realization can serve as a check on your answer.)

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