Pregunta
There were 84 runners to start a race. In the first half of the race, \( \frac{1}{4} \) of them dropped out. In the second half of the race, \( \frac{1}{3} \) of the remaining runners dropped out. How many runners finished the race?
Ask by Bates Reid. in the United States
Feb 22,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
42 runners finished the race.
Solución
Start with 84 runners. In the first half of the race, ¼ of them dropped out, leaving ¾ of 84, which is 63 runners. Then, in the second half, ⅓ of these 63 runners dropped out, leaving ⅔ of 63, which is 42 runners.
Thus, 42 runners finished the race.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Extra Insights
Let's break it down step-by-step! Initially, there were 84 runners. In the first half of the race, \(\frac{1}{4}\) of them dropped out: \[ \text{Runners who dropped out in the first half} = \frac{1}{4} \times 84 = 21 \] So, the number of runners remaining after the first half is: \[ \text{Runners remaining} = 84 - 21 = 63 \] In the second half of the race, \(\frac{1}{3}\) of the remaining runners dropped out: \[ \text{Runners who dropped out in the second half} = \frac{1}{3} \times 63 = 21 \] Thus, the number of runners finished the race is: \[ \text{Runners finished} = 63 - 21 = 42 \] Therefore, 42 runners finished the race.
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
