At an office supply store, Samantha bought 5 notebooks and 2 pens for $9. Jeffrey bought 3 notebooks and 2 pens for $6. Find the price of a

Question

At an office supply store, Samantha bought 5 notebooks and 2 pens for $9. Jeffrey bought 3 notebooks and 2 pens for $6. Find the price of a notebook and find the price of a pen.

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Isabella 2 weeks 2021-10-05T01:53:06+00:00 1 Answer 0

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    2021-10-05T01:54:38+00:00

    The price of a notebook is $1.5 and the price of the pen is $0.75

    Step-by-step explanation:

    Samantha bought :

    The number of notebooks she bought = 5

    The number of pens she bought = 2

    The total cost of the items = $9.

    Jeffrey bought :

    The number of notebooks he bought = 3

    The number of pens he bought = 2

    The total cost of the items = $6.

    To find the price of a notebook and a pen :

    Let us assume,

    • The price of a notebook be ‘x’.
    • The price of a pen be ‘y’.

    The equation is formed as,

    5x+2y = 9  ——–(1)

    3x+2y = 6  ——–(2)

    Subtract eq(2) from eq(1),

     5x+2y = 9

    -(3x+2y = 6)

       2x     = 3

    x = 3/2

    x = $1.5

    The price of a notebook is $1.5

    Substitute x=1.5 in eq(2),

    3(1.5)+2y = 6

    4.5 + 2y = 6

    2y = 6-4.5

    2y= 1.5

    y = 1.5 / 2

    y = $0.75

    The price of the pen is $0.75

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