Xavier needs to earn $300 for his trip for his soccer tournament. he mows the lawns Saturday morning and earns $56. Write and solve an inequality to show your much more Xavier needs to earn. Show your work.

1 answer

To determine how much more Xavier needs to earn, we can set up an inequality.

Let \( x \) represent the amount of money he still needs to earn. We know that Xavier's goal is to earn a total of $300, and he has already earned $56 by mowing lawns.

The inequality can be expressed as:

\[ x + 56 < 300 \]

Now, we will solve for \( x \):

  1. Subtract 56 from both sides of the inequality:

\[ x < 300 - 56 \]

  1. Calculate the right side:

\[ 300 - 56 = 244 \]

So, the inequality simplifies to:

\[ x < 244 \]

This means Xavier needs to earn less than $244 more to reach his goal of $300.

Thus, to summarize, Xavier needs to earn $244 or less more to achieve his goal of $300 for the trip.