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max2010maxim [7]
3 years ago
13

Haley bought 8 pencils and 3 folders for $10.39. Nicole bought 5 pencils and 4 folders for $10.51. How much does a folder cost?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0

Answer:

$1.89

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

cupoosta [38]3 years ago
6 0

Answer:

$1.89

Step-by-step explanation:

1) 8p+3f=$10.39

2) 5p+4f=$10.51

where p represents pencil & f represents folder.

multiply the first equation by 5 and the second equation by 8.

40p+15f=$51.95

40p+32f=$84.08

Subtract

17f=$32.13

f=$32.13/17 =$1.89

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<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20x%3A%7D%5C%5C4x%20%2B%2054%20%3D%2055%5C%5C%5C%5C%5Ctext%7BThank%20you
Crazy boy [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

x = \frac{1}{4}

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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