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31 July, 10:09

Lea and Alberto are selling flower bulbs for a fundraiser. Customers can buy bags of windflowers bulbs and packages of crocus bulbs. Lea sold 9 bags of windflower bulbs and 10 packages of crocus bulbs for a total of $201. Alberto sold 7 bags of windflower bulbs and 3 packages of crocus bulbs for a total of $99. What is the cost each of one bad of windflower bulbs and one package of crocus bulbs

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  1. 31 July, 13:13
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    Each package of windflower bulbs costs $9 and each package of crocus bulb costs $12.

    Step-by-step explanation:

    Lea sold 9 bags of windflower bulbs and 10 packages of crocus bulbs for a total of $201 and Alberto sold 7 bags of windflower bulbs and 3 packages of crocus bulbs for a total of $99.

    If each package of windflower bulbs costs $x and each package of crocus bulb costs $y, then we can write the equations

    9x + 10y = 201 ... (1)

    ⇒ 63x + 70y = 1407 ... (2) and

    7x + 3y = 99 ... (3)

    ⇒ 63x + 27y = 891 ... (4)

    Now, solving equations (2) and (4) we get,

    70y - 27y = 1407 - 891

    ⇒ 43y = 516

    ⇒ y = 12

    And from equation (3) we get,

    7x = 99 - 3y = 99 - 3 * 12 = 63

    ⇒ x = 9

    Therefore, each package of windflower bulbs costs $9 and each package of crocus bulb costs $12. (Answer)
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