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18 May, 05:02

Sarah is selling bracelets and earrings to make money for summer vacation. The bracelets cost $2 and the earrings cost $3. She needs to make at least $60. Sarah knows she will sell more than 10 bracelets. Write inequalities

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  1. 18 May, 05:35
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    Sarah is selling bracelets. The inequalities are a > 10 and 2a + 3b ≥ 60.

    Solution:

    Given, Sarah is selling bracelets and earrings to make money for summer vacation.

    bracelets cost = $2

    earrings cost = $3

    She needs to make at least $60.

    Sarah knows she will sell more than 10 bracelets.

    We have to write inequalities

    Now, according to given information,

    Total money ≥ $ 60

    Money earned from bracelets + money earned by earrings ≥ 60

    2 x number of bracelets + 3 x number of earrings ≥ 60

    2a + 3b ≥ 60

    [ where a is number of bracelets and b is number of earrings]

    And, number of bracelets is more than 10 ⇒ a > 10

    Hence, the inequalities are a > 10 and 2a + 3b ≥ 60
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