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
A. 50 Bracelets and 10 Headbands
B. 20 bracelets, and 60 headbands
C. 45 Bracelets and 60 headbands
D. 70 Bracelets and 40 headbands
To determine which combination Janelle can sell to make at least $200, but sell no more than 100 items, we need to calculate the total revenue and number of items for each combination.
For combination A:
Revenue: (50 bracelets * $2/bracelet) + (10 headbands * $4/headband) = $100 + $40 = $140
Number of items: 50 bracelets + 10 headbands = 60 items
For combination B:
Revenue: (20 bracelets * $2/bracelet) + (60 headbands * $4/headband) = $40 + $240 = $280
Number of items: 20 bracelets + 60 headbands = 80 items
For combination C:
Revenue: (45 bracelets * $2/bracelet) + (60 headbands * $4/headband) = $90 + $240 = $330
Number of items: 45 bracelets + 60 headbands = 105 items
For combination D:
Revenue: (70 bracelets * $2/bracelet) + (40 headbands * $4/headband) = $140 + $160 = $300
Number of items: 70 bracelets + 40 headbands = 110 items
Based on the calculations, the combination that Janelle can sell to make at least $200, but sell no more than 100 items, is combination A: 50 bracelets and 10 headbands.