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Mrs. Nelson asked students to translate the statement "Remy lost some of the [tex]$14 his mom gave him" into an algebraic expression. Four students' solutions are shown below:

Alice: \(14 - x\)
He had $[/tex]14, then he lost (subtraction) an unknown amount [tex]\((x)\)[/tex].

Camila: [tex]\(14 \ \textgreater \ x\)[/tex]
He had $14 more than [tex]\((\ \textgreater \ )\)[/tex] the unknown amount [tex]\((x)\)[/tex] he lost.

Which student's solution is correct?

A. Alice
B. Camila

Sagot :

GinnyAnswer
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.
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