Question

Alice buys some inexpensive bracelets and necklaces as party favors for her jewelry showing. She pays $8 for each necklace (N) and $7 for each bracelet (B). She spends less than $120. Which inequality models this situation?

A) 7B + 8N ≤ 120
B) 7B + 8N > 120
C) 7B + 8N ≥ 120
D) 7B + 8N < 120

Answer 1

7B+8N<120

Explanation:

The total amount of the bracelets and necklaces is less than $120, so if you add the price of each necklace ($8) and the price of each bracelet ($7), it will be <$120.

Answer 2

D) 7B + 8N < 120

Explanation:

Given,

The cost of each necklace = $ 8,

So, the cost of N necklace = 8N dollars

Also, the cost of each bracelet = $ 7,

So, the cost of B bracelet = 7B dollars,

Thus, the total spending = 7B + 8N,

According to the question,

Total spending is less than $ 120,

⇒ 7B + 8N < 120

Hence, OPTION D is correct.