Question
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
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{2}{5}\) of the cereal box is left.
Solution
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.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution 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.
