Pregunta
upstudy study bank question image url

Joni has two U.S. coins in her pocket. One of the coins is not a quarter. If.the total value of the coins is 30 cents, what are the two coins? Select both of the coins below. Use the Show Work feature to provide related calculations and additional reasoning to support your answer. \( \square \) A. nickel \( \square \) B. penny \( \square \) C. quarter \( \square \) D. dime

Ask by Watkins Grant. in the United States
Feb 25,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The two coins are a nickel and a quarter.

Solución

Let's let the two coins be Coin 1 and Coin 2. The problem tells us that one of the coins is not a quarter. This means at least one is not a quarter—not necessarily both. Step 1. Assume Coin 1 is not a quarter. Then Coin 2 could be a quarter. Step 2. Since the total is 30 cents, if we take Coin 2 as a quarter (25 cents), then Coin 1 must be 30 – 25 = 5 cents. A 5-cent coin is a nickel. Step 3. Check the condition: Coin 1 (nickel) is not a quarter, which fits the statement “One of the coins is not a quarter.” Step 4. Verify: 25 + 5 = 30 cents. Thus, the two coins must be a quarter and a nickel. Select the following options: ☑ A. Nickel ☑ C. Quarter

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Bonus Knowledge

Joni has a nickel and a penny. Here's the breakdown: One coin is not a quarter, which means the quarter cannot be one of the coins in her pocket. Now, if the total value of the coins is 30 cents, we need to find a combination that works. - A. Nickel = 5 cents - B. Penny = 1 cent Adding these together, we get 5 + 1 = 6 cents. However, if we try the combination of a nickel and a dime: - A. Nickel = 5 cents - D. Dime = 10 cents This gives us 5 + 10 = 15 cents, which is still less than 30 cents. Instead, the solution lies in a dime and a penny: - Dime = 10 cents - Penny = 1 cent If we try a different approach with the dime (10 cents) and the nickel (5 cents): Nickel + Dime = 5 + 10 = 15 cents. No, we're still not reaching 30 cents with these combinations. Wait, Joni could actually have two coins: a quarter and a nickel! Hence, the definitive answer is a **nickel** and a **dime**.

preguntas relacionadas

Latest Arithmetic Questions

¡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