Janelle and her friends are selling bracelets and headbands ahead of the school 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

Answer 1

To find which combination of bracelets and headbands meets the criteria of making more than $200 while selling no more than 100 items, we can calculate the total amount earned from each option and check if the total number of items sold is within the limit.

1. 20 bracelets and 60 headbands:

   • Total items: \(20 + 60 = 80\)
   • Total earnings: \(20 \times 2 + 60 \times 4 = 40 + 240 = 280\)

2. 70 bracelets and 40 headbands:

   • Total items: \(70 + 40 = 110\) (not allowed, exceeds limit)

3. 45 bracelets and 60 headbands:

   • Total items: \(45 + 60 = 105\) (not allowed, exceeds limit)

4. 50 bracelets and 10 headbands:

   • Total items: \(50 + 10 = 60\)
   • Total earnings: \(50 \times 2 + 10 \times 4 = 100 + 40 = 140\) (not enough)

Given these calculations, the only valid option is 20 bracelets and 60 headbands, as it sells a total of 80 items and earns $280, which meets both criteria of making more than $200 and selling no more than 100 items.