Please help with algebra?

Julia sells plants for $12 each and flowers at $2 each. Let x be the number of plants.

Part a) if she sold 3 flowers more than twice the number of plants, write an algebraic expression to represent the number of flowers.

Part b) if she collected $870, how many plants did she sell?

Part c) how many flowers did she sell

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  • 6 months ago
    Favorite Answer

    This is a good example of how algebra is easier than English.

    "3 flowers more than twice the number of plants" = 2x + 3

    The expression on the right is obvious. Take whatever x is, multiply by 2 and then add 3. The phrase on the left takes a little more thought, but gets to the same place.

    That's the number of flowers sold. Call it y, so that:

    y = 2x + 3

    If Julia sells x plants and y flowers, then her gross receipts (call that R) in dollars come to:

    R = 12x + 2y

    Starting here, the algebra requires a bit of pencil work. Start by substituting (2x + 3) for y so that x is the only variable on the right; then simplify:

    R = 12x + 2(2x + 3)

    R = 12x + 4x + 6 . . . . distributive property

    R = 16x + 6 . . . . combine like terms

    But R=870 was given, so if you substitute that you get a simple two-step equation:

    16x + 6 = 870

    16x = 864

    x = 864/16 = 54

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  • Mike G
    Lv 7
    6 months ago

    a) y = number of flowers sold

    y = 2x+3

    b) 870 = 12x+2(2x+3) =16x+6

    16x = 864

    x = 54 plants

    c) y = 111 flowers

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  • 6 months ago

    x = number of plants sold

    2x + 3 = number of flowers sold

    12x = income from plant sales

    2(2x + 3) = 4x + 6 = income from flower sales

    a) Number of flowers sold 2x + 3.

    b)Income from plants + income from flowers = 870, so:

    12x + 4x + 6 = 870

    16x + 6 = 870

    16x = 864

    x = 864/16 = 54

    So she sold 54 plants.

    c) number of flowers sold 2x + 3 = 2*54 + 3 = 111 flowers.

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