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Sagot :
Let's break down the statement "Remy lost some of the [tex]$14 his mom gave him."
1. Identification of Key Elements:
- Remy initially had $[/tex]14.
- He lost some portion of it, represent this part he lost with [tex]\( x \)[/tex].
2. Formulating the Algebraic Expression:
- Since Remy "lost some" money, we are dealing with a subtraction operation. This means we subtract the amount he lost (represented by [tex]\( x \)[/tex]) from the total amount he initially had.
- Therefore, the algebraic expression should be: [tex]\( 14 - x \)[/tex].
3. Assessing the Students' Solutions:
- Alice's solution is [tex]\( 14 - x \)[/tex]. This is correct because it directly translates the statement into an accurate algebraic form where an unknown amount [tex]\( x \)[/tex] is subtracted from the total $14.
- Camila's solution is [tex]\( 14 > x \)[/tex]. This indicates that 14 is greater than [tex]\( x \)[/tex], suggesting a comparison rather than an arithmetic operation. This does not correctly translate the given statement into an expression involving subtraction.
Given the correct translation of the statement, Alice's solution [tex]\( 14 - x \)[/tex] is indeed the correct one. Therefore, the student with the correct solution is Alice.
- He lost some portion of it, represent this part he lost with [tex]\( x \)[/tex].
2. Formulating the Algebraic Expression:
- Since Remy "lost some" money, we are dealing with a subtraction operation. This means we subtract the amount he lost (represented by [tex]\( x \)[/tex]) from the total amount he initially had.
- Therefore, the algebraic expression should be: [tex]\( 14 - x \)[/tex].
3. Assessing the Students' Solutions:
- Alice's solution is [tex]\( 14 - x \)[/tex]. This is correct because it directly translates the statement into an accurate algebraic form where an unknown amount [tex]\( x \)[/tex] is subtracted from the total $14.
- Camila's solution is [tex]\( 14 > x \)[/tex]. This indicates that 14 is greater than [tex]\( x \)[/tex], suggesting a comparison rather than an arithmetic operation. This does not correctly translate the given statement into an expression involving subtraction.
Given the correct translation of the statement, Alice's solution [tex]\( 14 - x \)[/tex] is indeed the correct one. Therefore, the student with the correct solution is Alice.
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