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.
A. 45 Bracelets and 60 headbands
B. 20 Bracelets and 60 headbands
C. 70 Bracelets and 40 headbands
D. 50 Bracelets and 10 headbands
To find out which combination will result in making at least $200 and selling no more than 100 items, we need to calculate the total amount of money made and the total number of items sold for each combination.
For option A:
Total money made = $2 (45 bracelets) + $4 (60 headbands) = $90 + $240 = $330
Total items sold = 45 bracelets + 60 headbands = 105 items
For option B:
Total money made = $2 (20 bracelets) + $4 (60 headbands) = $40 + $240 = $280
Total items sold = 20 bracelets + 60 headbands = 80 items
For option C:
Total money made = $2 (70 bracelets) + $4 (40 headbands) = $140 + $160 = $300
Total items sold = 70 bracelets + 40 headbands = 110 items
For option D:
Total money made = $2 (50 bracelets) + $4 (10 headbands) = $100 + $40 = $140
Total items sold = 50 bracelets + 10 headbands = 60 items
Among these options, only option B meets the criteria of making at least $200 and selling no more than 100 items. Thus, the correct combination is option B: 20 bracelets and 60 headbands.