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
50 Bracelets and 10 Headbands

Answer 1

To determine which combination of items Janelle can sell to make at least $200 while selling no more than 100 items, we can calculate the total revenue and total number of items sold for each option.

1. 20 bracelets and 60 headbands:

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

2. 70 bracelets and 40 headbands:

   • Total items: 70 + 40 = 110 (exceeds the limit of 100 items)
   • Total revenue: (70 * $2) + (40 * $4) = $140 + $160 = $300

3. 45 bracelets and 60 headbands:

   • Total items: 45 + 60 = 105 (exceeds the limit of 100 items)
   • Total revenue: (45 * $2) + (60 * $4) = $90 + $240 = $330

4. 50 bracelets and 10 headbands:

   • Total items: 50 + 10 = 60
   • Total revenue: (50 * $2) + (10 * $4) = $100 + $40 = $140

Looking at the analysis:

• The combination 20 bracelets and 60 headbands meets the criteria (makes $280 and totals 80 items).
• The combinations 70 bracelets and 40 headbands and 45 bracelets and 60 headbands exceed the limit of 100 items.
• The combination 50 bracelets and 10 headbands makes only $140, which is below $200.

Thus, the only valid option is:

20 bracelets and 60 headbands.