Pregunta
Artie ate \( \frac{1}{5} \) of a box of cereal last week and \( \frac{1}{5} \) of a box more this week than last week. How much of Artie's box of cereal is left?
Ask by Thornton Powers. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\(\frac{2}{5}\) of the cereal box is left.
Solución
To determine how much of the cereal box Artie has left, let's break down the information step by step.
1. **Cereal Consumed Last Week:**
- Artie ate \(\frac{1}{5}\) of the cereal box.
2. **Cereal Consumed This Week:**
- He ate \(\frac{1}{5}\) **more** than what he ate last week.
- This means he ate:
\[
\frac{1}{5} \text{ (last week)} + \frac{1}{5} \text{ (additional)} = \frac{2}{5}
\]
3. **Total Cereal Consumed:**
- Adding both weeks together:
\[
\frac{1}{5} + \frac{2}{5} = \frac{3}{5}
\]
4. **Cereal Remaining:**
- The whole cereal box is considered as 1 (or \(\frac{5}{5}\)).
- Subtract the consumed portion from the whole:
\[
1 - \frac{3}{5} = \frac{2}{5}
\]
**Answer:**
\(\boxed{\dfrac{2}{5}}\) of the cereal box is left.
Revisado y aprobado por el equipo de tutoría de UpStudy
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The Deep Dive
Artie ate \( \frac{1}{5} \) of a box of cereal last week. This week, he ate \( \frac{1}{5} + \frac{1}{5} = \frac{2}{5} \) of a box. To find the total amount of cereal he ate, we add the two fractions together: \[ \frac{1}{5} + \frac{2}{5} = \frac{3}{5} \] Now, to determine how much cereal is left, we subtract the amount he ate from the whole box: \[ 1 - \frac{3}{5} = \frac{2}{5} \] So, Artie has \( \frac{2}{5} \) of a box of cereal left.
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