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PLEASE HELP!! WILL GIVE BRAINLIEST IF YOU ANSWER!!!

Based on the information in the instructions, write a system of equations to model the situation. Let n represent the price of a notebook, p represent the price of a package of pencils, and m represent the price of a marker

How much does an individual notebook cost?

How much does a package of pencils cost?

How much does a individual market cost?


PLEASE HELP WILL GIVE BRAINLIEST IF YOU ANSWER Based On The Information In The Instructions Write A System Of Equations To Model The Situation Let N Represent T class=

Sagot :

Linear Equations
n = notebook

p = a package of pencils

m = marker

Equations:

Stan:

[tex]\tt n+3p+2m=7.5\:(1)[/tex]

Jan:

[tex]\tt 2n+6p+5m=15.5\:(2)[/tex]

Fran:

[tex]\tt n+2p+2m=6.25\:(3)[/tex]

1&3(elimination)

[tex]\tt n+3p+2m=7.5\\\\n+2p+2m=6.25\\===========\:-\\\\\boxed{\tt p=1.25}[/tex]

2&3(elimination)

[tex]\tt 2n+6p+5m=15.5\times 1\\\\n+2p+2m=6.25\times 2\\===========\:-\\\\2n+6p+5m=15.5\\\\2n+4p+4m=12.5\\===========\:-\\\\2p+m=3\rightarrow p=1.25\\\\2(1.25)+m=3\rightarrow m=3-2.5=\boxed{\tt m=0.5}[/tex]

(1)substitution

[tex]\tt n+3(1.25)+2(0.5)=7.5\rightarrow \boxed{\tt n=2.75}}[/tex]

an individual notebook cost: $2.75

a package of pencils cost: $1.25

an individual marker cost: $0.5