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John and Sara each bought the same type of pen and notebook in the school bookstore, which does not charge sales tax. John paid $5.55 for two pens and three notebooks, and Sara paid $3.50 for one pen and two notebooks. How much does the school bookstore charge for one notebook?

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Hey!
Let p = cost of a pen
Let n = cost of a notebook

The info in the question leads to two equations:

1) 2p + 3n = 5.55
2) p + 2n = 3.50

Multiply equation 2) by 2 to get the new system of equations

1a) 2p + 3n = 5.55
2a) 2p + 4n = 7.00

Subtract equation 1a) from equation 2a) to get

n = 1.45 ...................... that's the cost of one notebook

~~~~~~~~
To check, you could go on to figure out p, which turns out to be 0.60 . Put in those values of n and p into the original equations to verify.
Hope this helps! ~Nadia~

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-05-16T13:57:38+02:00

The amount of money school bookstore charge for one notebook which John and Sara bought along with pen is $1.45.

What do you mean by system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

John and Sara each bought the same type of pen and notebook in the school bookstore, which does not charge sales tax. Let suppose the charge of one notebook is x dollar and charge of one pen is y dollars.

John paid $5.55 for two pens and three notebooks. Thus,

[tex]2y+3x=5.55[/tex]

Rewrite the equation as,

[tex]2y=5.55-3x\\y=\dfrac{5.55-3x}{2}[/tex] ......1

Sara paid $3.50 for one pen and two notebooks. Thus,

[tex]y+2x=3.50[/tex]

Put the value of y from equation 1,

[tex]\dfrac{5.55-3x}{2}+2x=3.50\\\dfrac{5.55-3x+4x}{2}=3.50\\5.55-3x+4x=3.50\times2\\x=1.45[/tex]

Thus, the amount of money school bookstore charge for one notebook which John and Sara bought along with pen is $1.45.

Learn more about the system of equations here;

https://brainly.com/question/13729904

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Help Plz John and Sara each bought the same type of pen and notebook in the school bookstore, which does not charge sales tax. John paid $5.55 for two pens and three notebooks, and Sara paid $3.50 for one pen and two notebooks. How much does the school bookstore charge for one notebook? SHOW WORK

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What do you mean by system of equation?

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Help Plz

John and Sara each bought the same type of pen and notebook in the school bookstore, which does not charge sales tax. John paid $5.55 for two pens and three notebooks, and Sara paid $3.50 for one pen and two notebooks. How much does the school bookstore charge for one notebook?

SHOW WORK