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Answer :
Sure! Let's solve the problem step by step to find out how much the football player weighed at the end.
1. Initial Weight: The football player started with a weight of [tex]\(170 \frac{2}{3}\)[/tex] pounds in May. In decimal form, this is approximately 170.67 pounds.
2. Weight Gained During Summer: Over the summer, the player gained [tex]\(25 \frac{5}{12}\)[/tex] pounds. In decimal form, this is approximately 25.42 pounds.
3. Total Weight After Summer:
- We add the initial weight to the weight gained:
[tex]\[
170.67 + 25.42 = 196.09 \text{ pounds}
\][/tex]
4. Weight Lost During First Week of Fall:
- In the first week of fall practice, the player lost [tex]\(10 \frac{1}{4}\)[/tex] pounds. In decimal form, this is approximately 10.25 pounds.
- Subtract this from the weight after summer:
[tex]\[
196.09 - 10.25 = 185.84 \text{ pounds}
\][/tex]
5. Weight Lost During Second Week of Fall:
- In the second week, the player lost [tex]\(3 \frac{1}{2}\)[/tex] pounds. In decimal form, this is approximately 3.50 pounds.
- Subtract this from the weight after the first week of loss:
[tex]\[
185.84 - 3.50 = 182.34 \text{ pounds}
\][/tex]
Therefore, at the end of this process, the football player weighed approximately [tex]\(182 \frac{1}{2}\)[/tex] pounds. The answer is [tex]\(181 \frac{1}{2} \text{ lb}\)[/tex].
1. Initial Weight: The football player started with a weight of [tex]\(170 \frac{2}{3}\)[/tex] pounds in May. In decimal form, this is approximately 170.67 pounds.
2. Weight Gained During Summer: Over the summer, the player gained [tex]\(25 \frac{5}{12}\)[/tex] pounds. In decimal form, this is approximately 25.42 pounds.
3. Total Weight After Summer:
- We add the initial weight to the weight gained:
[tex]\[
170.67 + 25.42 = 196.09 \text{ pounds}
\][/tex]
4. Weight Lost During First Week of Fall:
- In the first week of fall practice, the player lost [tex]\(10 \frac{1}{4}\)[/tex] pounds. In decimal form, this is approximately 10.25 pounds.
- Subtract this from the weight after summer:
[tex]\[
196.09 - 10.25 = 185.84 \text{ pounds}
\][/tex]
5. Weight Lost During Second Week of Fall:
- In the second week, the player lost [tex]\(3 \frac{1}{2}\)[/tex] pounds. In decimal form, this is approximately 3.50 pounds.
- Subtract this from the weight after the first week of loss:
[tex]\[
185.84 - 3.50 = 182.34 \text{ pounds}
\][/tex]
Therefore, at the end of this process, the football player weighed approximately [tex]\(182 \frac{1}{2}\)[/tex] pounds. The answer is [tex]\(181 \frac{1}{2} \text{ lb}\)[/tex].
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