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13 June, 03:52

A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard strawberries sells for $7, and a box of deluxe strawberries sells for $10. In one day the stand sells 135 boxes of strawberries for a total of $1110. How many boxes of each type were sold

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  1. 13 June, 04:01
    0
    box of standard strawberries = 80

    box of deluxe strawberries = 55

    Step-by-step explanation:

    Given dа ta:

    A box of standard strawberries sells for $7

    a box of deluxe strawberries sells for $10.

    Total number of sells 135 boxes

    total revenue of $1110.

    Let box of standard strawberries be x

    Let box of deluxe strawberries be y

    x + y = 135 (equation 1)

    7x + 10y = 1110 (equation 2)

    These are now simultaneous equations

    From equation 1

    y = 135-x (equation 3)

    Substituting equation 3 into equation 2

    7x + 10 (135-x) = 1110

    7x + 1350 - 10x = 1110

    7x - 10x = 1110-1350

    -3x = - 240

    x = 80

    Substituting x into equation 3

    y = 135 - x

    y = 135 - 80

    y = 55
  2. 13 June, 04:06
    0
    box of standard strawberries = 80

    box of deluxe strawberries = 55

    Step-by-step explanation:

    A box of standard strawberries = $7

    A box of deluxe strawberries = $10.

    Totalsale of 135 boxes = $1110.

    Let box of standard strawberries = X and box of deluxe strawberries = Y

    Number of boxes equation:

    X + Y = 135

    Price of boxes equation:

    7X + 10Y = 1110

    Solving the Equations simultaneously,

    X = 135 - Y putting into,

    7X + 10Y = 1110

    7 (135 - Y) + 10Y = 1110

    945 - 7Y + 10Y = 1110

    3Y = 165

    Therefore, Y = 55

    55 = 135 - X

    X = 135 - 55

    = 80.
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