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.

Respuesta :

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" Β and book covers as "y".

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

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

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

Multiply equation B with 3

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

Equation c- Equation A

β‡’$48-$27=7x

β‡’7x=$21

β‡’x==$3

The cost of the spiral notebook is $3

From equation A

β‡’5($3)+6y=$27

β‡’$15+6y=$27

β‡’6y=$12

β‡’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

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