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

Alice: 14-x
He had $14, then he lost (subtraction) an unknown amount(x)
Bobby: x-14
He had an unknown amount of money (x) and he lost (subtraction) $14.
Camila: 14 > x
He had $14 more than (>) the unknown amount (x) he lost.

Daniel: 14 < x
He had $14 less than (<) the unknown amount (x) he lost

Which student is correct?
(1 point)
* Bobby
* Alice
* Daniel
* Camila

1 answer

The correct translation of the statement "Remy lost some of the $14 his mom gave him" into an algebraic expression is represented by Alice's solution: 14 - x, where \( x \) represents the amount of money lost.

Bobby, Camila, and Daniel's interpretations do not correctly represent the relationship described in the statement.

  • Bobby interprets it as \( x - 14 \), which suggests he had an unknown amount \( x \) and lost $14, which is incorrect.
  • Camila uses \( 14 > x \), which incorrectly implies that $14 is greater than the unknown amount lost, rather than relating it to the total he started with.
  • Daniel uses \( 14 < x \), which implies that he lost more than he originally had, which does not make sense in the context.

Thus, the correct answer is: Alice.