Lydia's donut shop sold 55 donuts. She needs to sell at least 525 bagels to make a profit for the day. What is the solution of an inequality showing the number of donuts that she still needs to sell? Include the appropriate inequality symbol in your response.

Answer 1

To show the number of donuts that Lydia still needs to sell, we need to find an inequality that reflects the situation.

Lydia sold 55 donuts, and she needs to sell at least 525 bagels to make a profit. The number of additional donuts she needs to sell can be represented as \( x \).

The inequality can be set up as follows:

\[ 55 + x \geq 525 \]

To isolate \( x \) and find the number of additional donuts she needs to sell, we subtract 55 from both sides:

\[ x \geq 525 - 55 \]

Calculating the right side:

\[ x \geq 470 \]

So the solution of the inequality showing the number of donuts that Lydia still needs to sell is:

\[ x \geq 470 \]