Question

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

Answer 1

Using a system of equations, it is found that:

• Each individual notebook costs $2.75.

• A package of pencils costs $1.25.

• Each individual marker costs $0.5.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

• n is the price of a notebook.

• p is the price of a package of pencils.

• m is the price of marker.

From Stan's purchases, we have that:

$n + 3p + 2m = 7.5$

From Jan's purchases, we have that:

$2n + 6p + 5m = 15.50$

From Fran's purchases, we have that:

$n + 2p + 2m = 6.25$

From the third equation:

$n = 6.25 - 2p - 2m$

Replacing on the first:

$n + 3p + 2m = 7.5$

$6.25 - 2p - 2m + 3p + 2m = 7.5$

$p = 1.25$

On the second equation, we have that:

$2n + 6p + 5m = 15.50$

$2(6.25 - 2p - 2m) + 6(1.25) + 5m = 15.50$

$2(3.75 - 2m) + 5m = 8$

$m = 0.5$

Finally:

$n = 6.25 - 2(1.25) - 2(0.5) = 2.75$

Then:

• Each individual notebook costs $2.75.

• A package of pencils costs $1.25.

• Each individual marker costs $0.5.

To learn more about system of equations, you can take a look at brainly.com/question/24342899