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math question?!?!?

Four pencils and two pens cost $0.74. Six pencils and five pens cost $1.53. Find the cost of a pencil and a pen.

8 Answers

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  • 1 decade ago
    Favorite Answer

    x = pencils y = pens

    4x + 2y = .74 _____ Equation 1

    6x + 5y = 1.53 ____ Equation 2

    Step 1: Eliminate a variable

    Equation 1 X 3:

    12x + 6y = 2.22

    Equation 2 X 2:

    12x + 10y = 3.06

    Subtract the two:

    12x + 6y - (12x + 10y) = 2.22 - 3.06

    12x - 12x + 6y - 10y = -.84

    -4y = -.84

    y = .21

    Substitute this value into an equation:

    4x + 2 (.21) = .74

    4x + .42 = .74

    4x = .32

    x = .08

    So a pencil is worth $.08 and a pen is worth $.21

    Added together:

    .08 + .21 = $.29

    So .29 is your answer

    Hope this helps!!!

  • 1 decade ago

    Let x = the cost of a pencil and y = the cost of a pen.

    4x + 2y = $0.74

    6x + 5y = $1.53

    If you solve the first equation for y, you get

    2y = $0.74 - 4x

    y = $0.37 - 2x

    Now substitute that into the second equation and you get

    6x +5($0.37 - 2x) = $1.53

    6x + $1.85 -10x = $1.53

    $0.32 = 4x

    $0.08 = x and y = $0.37 - $0.16 = $0.21

    So, a pencil costs $0.08 and a pen costs $0.21. Add those two together to get the cost of a pencil AND a pen.

  • 1 decade ago

    you make 2 equations form the info.

    let x=pencils and y=pens

    4x+2y=0.74 and 6x+5y=1.53

    now with the two equations, solve for the value of x and y

    x=0.08 and y= 0.21

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    1 decade ago

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  • ?
    Lv 5
    1 decade ago

    just go to staples and find out

  • I SAY ABOUT 25 CENTS

  • ?
    Lv 5
    1 decade ago

    srry... zoned out during math...

  • 1 decade ago

    $1.07

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