At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Alexis and her sister bought school supplies.
Alexis bought 5 spiral notebooks and 6 book
covers for $27. Her sister bought 4 spiral
notebooks and 2 book covers for $16. Find
the cost for each spiral notebook and each
book cover.

Sagot :

The cost of each spiral notebook is $3 and the cost of each book cover is $2

Given that Alexis and her sister bought school supplies. Alexis bought 5 spiral notebooks and 6 book covers for $27. Her sister bought 4 spiral notebooks and 2 book covers for $16 and asked to find out the cost of each spiral notebook and each book cover.

Let's assume spiral notebooks as "x"  and book covers as "y".

As a result, two linear equations in two variables will be formed.

⇒5x+6y=$27; Let's assume this equation as A

⇒4x+2y=$16; Let's assume this equation as B

Multiply equation B with 3

⇒12x+6y=$48; Let's assume this equation as C

Equation c- Equation A

⇒$48-$27=7x

⇒7x=$21

⇒x==$3

The cost of the spiral notebook is $3

From equation A

⇒5($3)+6y=$27

⇒$15+6y=$27

⇒6y=$12

⇒y=$2

The cost of the book cover is $2

Therefore,The cost of each spiral notebook is $3 and the cost of each book cover is $2

Learn more about cost here:

https://brainly.com/question/15135554

#SPJ9