Question
After Tasneen's birthday, half of the cake was left over. Tasneen and his four friends are only allowed to eat \( \frac{1}{5} \) of the half cake. What fraction of the whole cake will Tasneen and his friends have eaten after his birthday party?
Ask by Gough Cox. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
They have eaten \(\frac{1}{10}\) of the whole cake.
Solution
Let's break down the problem step by step:
1. **Initial Cake Quantity:**
- The whole cake is represented as \(1\).
2. **After Birthday Party:**
- **Half of the cake is left over.**
- This means \( \frac{1}{2} \) of the cake remains.
3. **Tasneen and Friends' Consumption:**
- **Tasneen and his four friends are allowed to eat \( \frac{1}{5} \) of the remaining half cake.**
- This translates to \( \frac{1}{5} \times \frac{1}{2} = \frac{1}{10} \) of the whole cake.
4. **Total Consumption After the Birthday Party:**
- Only the portion that Tasneen and his friends eat after the party is considered.
- Therefore, the fraction of the whole cake they have eaten is \( \frac{1}{10} \).
**Final Answer:**
They have eaten \(\frac{1}{10}\) of the whole cake.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Extra Insights
Tasneen's birthday cake has half left over after the party. If they can eat \( \frac{1}{5} \) of that half, we can calculate it as follows: First, find \( \frac{1}{5} \) of the half cake: \[ \frac{1}{5} \times \frac{1}{2} = \frac{1}{10} \] Thus, Tasneen and his friends will eat \( \frac{1}{10} \) of the whole cake after the party. So, the fraction of the whole cake they consumed is \( \frac{1}{10} \).
