Elise will be selling her handmade jewelry at a craft fair this weekend. She plans to sell each necklace for $28 and each bracelet for $22. After covering the $110 she spent on supplies, Elise hopes to earn a profit of at least $400.

Question

If n represents the number of necklaces sold and b represents the number of bracelets sold, which inequality describes this situation?
a) 28n +22b + 110 < or equal to 400
b) 28n+ 22b - 110 > or equal to 400
c) 28n + 22b - 110 < or equal to 400
d) 28n + 22b +110 > or equal to 400
If Elise sells 12 necklaces, what is the minimum number of bracelets she needs to sell to earn a profit of $400 or more?
bracelets

Answer 1

The correct inequality is:

c) 28n + 22b - 110 ≤ 400

Substitute n = 12 into the inequality:

28(12) + 22b - 110 ≤ 400
336 + 22b - 110 ≤ 400
226 + 22b ≤ 400
22b ≤ 174
b ≤ 7.909

Elise needs to sell at least 8 bracelets to earn a profit of $400 or more.