Question

We must carry out the process of distributing the number of users with whom two work. members of a social project. However, one has more time available and can work with 40 more users than the other. If it is considered that we will carry out the project with a Approximately 290 users. How many users will each one work with? Generalize the situation previous in an equation

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Answer to a math question We must carry out the process of distributing the number of users with whom two work. members of a social project. However, one has more time available and can work with 40 more users than the other. If it is considered that we will carry out the project with a Approximately 290 users. How many users will each one work with? Generalize the situation previous in an equation

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Neal
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101 Answers
Denotemos la cantidad de usuarios con los que trabaja la primera persona como \( x \) y la cantidad de usuarios con los que trabaja la segunda persona como \( y \). Según el problema, una persona puede trabajar con 40 usuarios más que la otra. Esto se puede expresar como: \[ x = y + 40 \] El número total de usuarios con los que trabajan es la suma de los usuarios con los que trabaja cada uno, que se obtiene como 290: \[ x + y = 290 \] Sustituye la primera ecuación en la segunda ecuación para resolver \( y \): \[ (y + 40) + y = 290 \] \[ 2y + 40 = 290 \] \[ 2y = 250 \] \[ y = 125 \] Ahora, sustituya el valor de \( y \) nuevamente en la primera ecuación para encontrar \( x \): \[ x = 125 + 40 \] \[ x = 165 \] Entonces, la primera persona trabajará con 165 usuarios y la segunda persona trabajará con 125 usuarios. Generalizando la situación en una ecuación: Sea \( x \) el número de usuarios con los que trabaja la primera persona y \( y \) el número de usuarios con los que trabaja la segunda persona. Si el número total de usuarios con los que trabajan es \( T \), y la primera persona puede trabajar con \( d \) más usuarios que la segunda persona, entonces tenemos: \[ x = y + d \] \[ x + y = T \] Resolver estas dos ecuaciones simultáneamente dará los valores de \( x \) y \( y \).

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