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.

Question

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

50 Bracelets and 10 Headbands

45 Bracelets and 60 headbands

20 bracelets, and 60 headbands

70 Bracelets and 40 headbands

Answer 1

To determine if Janelle can sell each combination to meet both conditions (making more than $200 and selling no more than 100 items), we can calculate the total sales and total items for each option.

1. 50 Bracelets and 10 Headbands

   • Total items: 50 + 10 = 60 items
   • Total revenue: (50 x $2) + (10 x $4) = $100 + $40 = $140 (not > $200)

2. 45 Bracelets and 60 Headbands

   • Total items: 45 + 60 = 105 items (exceeds 100)

3. 20 Bracelets and 60 Headbands

   • Total items: 20 + 60 = 80 items
   • Total revenue: (20 x $2) + (60 x $4) = $40 + $240 = $280 (> $200)

4. 70 Bracelets and 40 Headbands

   • Total items: 70 + 40 = 110 items (exceeds 100)

Based on this analysis, the only combination that meets the criteria (making more than $200 and selling no more than 100 items) is:

20 bracelets and 60 headbands.