Question
Martin and Paulina make an investment in shares with the same amount of money. Martin earned $8,000 and Paulina lost $6,000; so the amount left for Paulina is one third of what Martin got. Determine an algebraic expression that represents the situation posed.
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Answer to a math question Martin and Paulina make an investment in shares with the same amount of money. Martin earned $8,000 and Paulina lost $6,000; so the amount left for Paulina is one third of what Martin got. Determine an algebraic expression that represents the situation posed.
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Sea la inversión inicial realizada tanto por Martín como por Paulina \( x \) dólares.
- Martín gana $8,000, por lo que su monto total es \( x + 8,000 \) .
- Paulina pierde $6,000, por lo que su monto total es \( x - 6,000 \) .
Según el problema, la cantidad de Paulina es la tercera parte de la que tiene Martín, por lo que podemos escribir la siguiente ecuación:
x - 6,000 = \frac{1}{3}(x + 8,000)
Esta ecuación representa la situación descrita.
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