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.
Responses
50 Bracelets and 10 Headbands
50 Bracelets and 10 Headbands
70 Bracelets and 40 headbands
70 Bracelets and 40 headbands
45 Bracelets and 60 headbands
45 Bracelets and 60 headbands
20 bracelets, and 60 headbands
20 bracelets, and 60 headbands
To determine the correct combination, we need to find a combination that meets two requirements: making at least $200 and selling no more than 100 items.
Let's calculate the total revenue and the number of items sold for each combination:
1. 50 Bracelets and 10 Headbands:
Revenue: (50 bracelets * $2) + (10 headbands * $4) = $100 + $40 = $140
Total items sold: 50 + 10 = 60
2. 70 Bracelets and 40 Headbands:
Revenue: (70 bracelets * $2) + (40 headbands * $4) = $140 + $160 = $300
Total items sold: 70 + 40 = 110
3. 45 Bracelets and 60 Headbands:
Revenue: (45 bracelets * $2) + (60 headbands * $4) = $90 + $240 = $330
Total items sold: 45 + 60 = 105
4. 20 Bracelets and 60 Headbands:
Revenue: (20 bracelets * $2) + (60 headbands * $4) = $40 + $240 = $280
Total items sold: 20 + 60 = 80
Based on the calculations, option 4 is the only combination that meets both requirements: making at least $200 and selling no more than 100 items. Therefore, Janelle can sell 20 bracelets and 60 headbands to achieve this goal.