Janelle and her friends are selling bracelets and headbands ahead of the school’s pep rally to support the team during homecoming. They figured they would sell the headbands for $4 and the bracelets for $2. They’d like to make more than $200 and sell no more than 100 items. Select one of the following combinations that Janelle can sell to make at least $200, but have no more than 100 items sold. (1 point) Responses 20 bracelets, and 60 headbands 20 bracelets, and 60 headbands 70 Bracelets and 40 headbands 70 Bracelets and 40 headbands 45 Bracelets and 60 headbands 45 Bracelets and 60 headbands 50 Bracelets and 10 Headbands

1 answer

Let's analyze each option to see if they meet the criteria of making at least $200 while selling no more than 100 items.

  1. 20 bracelets and 60 headbands

    • Total items: 20 + 60 = 80 (meets the item limit)
    • Total revenue: (20 * $2) + (60 * $4) = $40 + $240 = $280 (meets revenue requirement)
  2. 70 bracelets and 40 headbands

    • Total items: 70 + 40 = 110 (exceeds the item limit)
  3. 45 bracelets and 60 headbands

    • Total items: 45 + 60 = 105 (exceeds the item limit)
  4. 50 bracelets and 10 headbands

    • Total items: 50 + 10 = 60 (meets the item limit)
    • Total revenue: (50 * $2) + (10 * $4) = $100 + $40 = $140 (does not meet revenue requirement)

From the analysis, the only combination that satisfies both criteria of making at least $200 and selling no more than 100 items is:

20 bracelets and 60 headbands.