Question

A psychologist is investigating the levels of test anxiety in various university courses. Anxiety is measured on a scale ranging from 0 to 100, where 0 indicates the complete absence of anxiety and 100 represents an extreme level of anxiety. From the data obtained, it has been discovered that the psychology score is triple that of nursing, and in turn, the latter has a score 10 points lower than the nutrition major. Furthermore, the score in the veterinary degree is 15 points higher than that of nutrition. Finally, if we add the scores of all the races, we will obtain a total of 173 points. Pose the equation that represents the situation described in the previous problem and determine: What is the score that psychology obtained regarding its anxiety level before the exams?

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Answer to a math question A psychologist is investigating the levels of test anxiety in various university courses. Anxiety is measured on a scale ranging from 0 to 100, where 0 indicates the complete absence of anxiety and 100 represents an extreme level of anxiety. From the data obtained, it has been discovered that the psychology score is triple that of nursing, and in turn, the latter has a score 10 points lower than the nutrition major. Furthermore, the score in the veterinary degree is 15 points higher than that of nutrition. Finally, if we add the scores of all the races, we will obtain a total of 173 points. Pose the equation that represents the situation described in the previous problem and determine: What is the score that psychology obtained regarding its anxiety level before the exams?

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Corbin
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Solución: Sean x, y, z y t las puntuaciones obtenidas por las carreras de psicología, enfermería, nutrición y veterinaria, respectivamente. De la afirmación "la puntuación de psicología es el triple que la de enfermería", x=3y Resolviendo para y en términos de x, y=\frac{x}{3} De la afirmación “[enfermería] tiene un puntaje 10 puntos menor que la carrera de nutrición”, y=z-10 Resolviendo para z en términos de y, z=y+10 Sustituyendo y en términos de x, z=\frac{x}{3}+10 Del enunciado “la puntuación en la carrera de veterinaria es 15 puntos superior a la de nutrición”, t=z+15 Sustituyendo z en términos de x, t=\frac{x}{3}+10+15 t=\frac{x}{3}+25 Del enunciado “si sumamos las puntuaciones de todas las carreras, obtendremos un total de 173 puntos”, x+y+z+t=173 Sustituyendo z=y, z y t en términos de x, x+\frac{x}{3}+\frac{x}{3}+10+\frac{x}{3}+25=173 2x+35=173 2x=138 x=69 Respuesta: La puntuación que obtuvo Psicología respecto a su nivel de ansiedad antes de los exámenes es igual a 69.

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