SAT Linear inequalities in one or two variables Practice Question 8 (Medium)

Question bank / Linear inequalities in one or two variables

Math · AlgebraMedium

Ana sells bracelets for $\$8$ each and necklaces for $\$15$ each. She wants her total sales to be at least $\$300$ . Which inequality represents this situation, where $b$ is the number of bracelets sold and $n$ is the number of necklaces sold?

$8b + 15n \ge 300$

$15b + 8n \ge 300$

$8b + 15n \le 300$

$23(b + n) \ge 300$

Show answer and explanation

Answer: A

Bracelet sales are $8b$ dollars and necklace sales are $15n$ dollars. 'At least' means greater than or equal to, so $8b + 15n \ge 300$ .

Choice C uses the wrong inequality direction; 'at least $\$300$ ' means sales of 300 or more.

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