Question 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

Answer 1

To determine which combination of bracelets and headbands Janelle can sell to meet the goals, we need to evaluate each option based on the following criteria:

1. Total income must be greater than $200.
2. Total number of items sold must be 100 or fewer.

Next, let's break down the options:

1. Option: 20 bracelets and 60 headbands

   • Income: (20 * $2) + (60 * $4) = $40 + $240 = $280
   • Total items: 20 + 60 = 80
   • Outcome: Valid (more than $200 and 80 items)

2. Option: 70 bracelets and 40 headbands

   • Income: (70 * $2) + (40 * $4) = $140 + $160 = $300
   • Total items: 70 + 40 = 110
   • Outcome: Invalid (exceeds 100 items)

3. Option: 45 bracelets and 60 headbands

   • Income: (45 * $2) + (60 * $4) = $90 + $240 = $330
   • Total items: 45 + 60 = 105
   • Outcome: Invalid (exceeds 100 items)

4. Option: 50 bracelets and 10 headbands

   • Income: (50 * $2) + (10 * $4) = $100 + $40 = $140
   • Total items: 50 + 10 = 60
   • Outcome: Invalid (not more than $200)

Based on the evaluations:

• The only valid option is 20 bracelets and 60 headbands, which meets both criteria.