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

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 allows Janelle and her friends to meet the conditions of selling more than $200 and no more than 100 items, we can calculate the total revenue and total items sold for each option.

1. 20 bracelets and 60 headbands:

   • Revenue = (20 bracelets × $2) + (60 headbands × $4)
   • Revenue = (40) + (240) = $280
   • Total items = 20 + 60 = 80 items

2. 70 bracelets and 40 headbands:

   • Revenue = (70 bracelets × $2) + (40 headbands × $4)
   • Revenue = (140) + (160) = $300
   • Total items = 70 + 40 = 110 items (exceeds the limit)

3. 45 bracelets and 60 headbands:

   • Revenue = (45 bracelets × $2) + (60 headbands × $4)
   • Revenue = (90) + (240) = $330
   • Total items = 45 + 60 = 105 items (exceeds the limit)

4. 50 bracelets and 10 headbands:

   • Revenue = (50 bracelets × $2) + (10 headbands × $4)
   • Revenue = (100) + (40) = $140
   • Total items = 50 + 10 = 60 items

Now, let's summarize the results:

• Option 1: $280, 80 items (valid)
• Option 2: $300, 110 items (invalid)
• Option 3: $330, 105 items (invalid)
• Option 4: $140, 60 items (invalid)

The only valid option that meets both criteria of making more than $200 and selling no more than 100 items is:

20 bracelets and 60 headbands.