Janelle and her friends are selling bracelets and headbands ahead of the schools 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.

Question

A. 20 bracelets, and 60 headbands
B. 70 bracelets and 40 headbands
C. 45 bracelets and 60 headbands
D. 50 bracelets and 10 headbands

Answer 1

To determine which combination allows Janelle to make more than $200 while selling no more than 100 items, we will calculate the total amount earned and the total number of items sold for each option.

Bracelet price: $2 Headband price: $4

1. Option A: 20 bracelets and 60 headbands

   • Total number of items = 20 + 60 = 80 items
   • Total amount = (20 × $2) + (60 × $4) = $40 + $240 = $280

2. Option B: 70 bracelets and 40 headbands

   • Total number of items = 70 + 40 = 110 items (exceeds 100 items limit)
   • This option is not valid.

3. Option C: 45 bracelets and 60 headbands

   • Total number of items = 45 + 60 = 105 items (exceeds 100 items limit)
   • This option is not valid.

4. Option D: 50 bracelets and 10 headbands

   • Total number of items = 50 + 10 = 60 items
   • Total amount = (50 × $2) + (10 × $4) = $100 + $40 = $140

Now we can summarize the results:

• Option A: 80 items, $280 (valid)
• Option B: 110 items, invalid
• Option C: 105 items, invalid
• Option D: 60 items, $140 (not enough)

Based on the above calculations, the only valid option that allows Janelle to make more than $200 while selling no more than 100 items is:

A. 20 bracelets and 60 headbands