Question

Solve Two-Step Linear Inequalities Practice
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Question
India wants to make $97 selling plates of food. She sells each plate and a drink for $8. If she paid $7 for the drinks, use the inequality 8x−7≥97
to find at least how many plates she would have to sell to reach her goal.(1 point)
India would have to sell at least
plates.

Answer 1

To solve the inequality \( 8x - 7 \geq 97 \), we need to isolate \( x \).

1. Start by adding 7 to both sides of the inequality:

\[
8x - 7 + 7 \geq 97 + 7
\]
\[
8x \geq 104
\]

2. Next, divide both sides by 8:

\[
x \geq \frac{104}{8}
\]
\[
x \geq 13
\]

So, India would have to sell at least **13 plates** of food to reach her goal of making $97.