Pregunta
upstudy study bank question image url

During the production of phone cases, \( 10 \% \) of raw plastic is wasted. If the company needs 5,000 cases, how much plastic should they purchase? 4.556 Unit of plastic 3,4446 units of plastic , 5,556 units of plastic. 2,446 units of plastic

Ask by Pena Pearson. in the United States
Jan 24,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

The company should purchase **5,556 units** of plastic.

Solución

To determine how much plastic the company should purchase, considering a 10% waste during production, follow these steps: 1. **Determine the Effective Usage Rate:** - Since 10% of the plastic is wasted, only 90% (**100% - 10%**) of the purchased plastic is effectively used. 2. **Calculate the Required Purchase:** - Let \( P \) be the total plastic needed. - The effective plastic used is \( 0.90 \times P \). - To produce 5,000 phone cases: \[ 0.90 \times P = 5,000 \quad \Rightarrow \quad P = \frac{5,000}{0.90} \approx 5,555.56 \text{ units} \] 3. **Round Appropriately:** - It's practical to round up to ensure there's enough plastic, resulting in **5,556 units**. **Correct Answer:** 5,556 units of plastic.

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Mind Expander

To produce 5,000 phone cases with a \(10\%\) waste rate, the company needs to account for the wasted plastic. If \(x\) is the amount of plastic purchased, then \(90\%\) of \(x\) will be used effectively. This gives us the equation \(0.9x = 5000\). Solving for \(x\) gives \(x = \frac{5000}{0.9} = 5555.56 \) units of plastic. So, the correct amount of plastic the company should purchase is approximately \(5,556\) units. You can think of it like baking a cake: if you need enough cake for 10 people but have a habit of eating some batter, you should mix a little extra to ensure everyone gets a slice. In this case, the plastic is the batter, and the \(10\%\) waste is those tasty samples you just can't resist!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad