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Answer :
Let's solve the problem step-by-step:
1. Initial Weight in May:
The football player weighed [tex]\(170 \frac{2}{3}\)[/tex] pounds.
2. Weight Gained During the Summer:
The player gained [tex]\(25 \frac{5}{12}\)[/tex] pounds during the summer.
3. Calculate the Weight After the Summer Gain:
To find the player's new weight after gaining weight, add the initial weight to the weight gained:
[tex]\[
\left(170 \frac{2}{3}\right) + \left(25 \frac{5}{12}\right)
\][/tex]
4. Weight Lost During the First Week of Fall Practice:
During the first week, the player lost [tex]\(10 \frac{1}{4}\)[/tex] pounds.
5. Calculate the Weight After the First Week Loss:
Subtract the weight lost from the player's weight after the summer gain:
[tex]\[
\left(\text{Weight after summer}\right) - \left(10 \frac{1}{4}\right)
\][/tex]
6. Weight Lost During the Second Week of Fall Practice:
In the second week, the player lost another [tex]\(3 \frac{1}{2}\)[/tex] pounds.
7. Calculate the Final Weight After the Second Week Loss:
Subtract the second week’s loss from the player's weight after the first week:
[tex]\[
\left(\text{Weight after first week}\right) - \left(3 \frac{1}{2}\right)
\][/tex]
Following these calculations, the football player's weight at that point was:
[tex]\[
182 \frac{1}{3} \text{ pounds}
\][/tex]
Therefore, the correct answer is [tex]\(182 \frac{1}{3} \text{ lb}\)[/tex].
1. Initial Weight in May:
The football player weighed [tex]\(170 \frac{2}{3}\)[/tex] pounds.
2. Weight Gained During the Summer:
The player gained [tex]\(25 \frac{5}{12}\)[/tex] pounds during the summer.
3. Calculate the Weight After the Summer Gain:
To find the player's new weight after gaining weight, add the initial weight to the weight gained:
[tex]\[
\left(170 \frac{2}{3}\right) + \left(25 \frac{5}{12}\right)
\][/tex]
4. Weight Lost During the First Week of Fall Practice:
During the first week, the player lost [tex]\(10 \frac{1}{4}\)[/tex] pounds.
5. Calculate the Weight After the First Week Loss:
Subtract the weight lost from the player's weight after the summer gain:
[tex]\[
\left(\text{Weight after summer}\right) - \left(10 \frac{1}{4}\right)
\][/tex]
6. Weight Lost During the Second Week of Fall Practice:
In the second week, the player lost another [tex]\(3 \frac{1}{2}\)[/tex] pounds.
7. Calculate the Final Weight After the Second Week Loss:
Subtract the second week’s loss from the player's weight after the first week:
[tex]\[
\left(\text{Weight after first week}\right) - \left(3 \frac{1}{2}\right)
\][/tex]
Following these calculations, the football player's weight at that point was:
[tex]\[
182 \frac{1}{3} \text{ pounds}
\][/tex]
Therefore, the correct answer is [tex]\(182 \frac{1}{3} \text{ lb}\)[/tex].
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