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In order to get a bonus this month, Leo must sell at least 120 pairs of shoes. He sold 85 pairs of shoes in the first three weeks of the month. How many pairs of shoes, [tex]s[/tex], must Leo sell in the last week of the month?

A. [tex]s \leq 35[/tex]
B. [tex]s \geq 205[/tex]
C. [tex]s \leq 205[/tex]
D. [tex]s \geq 35[/tex]

Answer :

Let's go through the problem step by step to find out how many pairs of shoes Leo needs to sell in the last week of the month.

1. Understand Leo's Goal:
- Leo must sell at least 120 pairs of shoes in total to earn his bonus.

2. Current Progress:
- Leo has already sold 85 pairs in the first three weeks.

3. Calculate Remaining Shoes:
- To find out how many more pairs Leo needs to sell, we subtract the number of pairs he has already sold from the total number he needs to sell.
- We have:
[tex]\[
\text{Remaining pairs} = \text{Total required pairs} - \text{Pairs already sold}
\][/tex]
- Substituting the given values:
[tex]\[
\text{Remaining pairs} = 120 - 85 = 35
\][/tex]

4. Conclusion:
- Leo must sell at least 35 more pairs in the last week to reach his target of 120 pairs.

Therefore, the correct option is:

D) [tex]\(s \geq 35\)[/tex]

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