Question
Rey operates an orange juice stand, On Monday he used z/5 of a bag of oranges, en Tuesday he used \( 4 / 5 \) as many oranges as on Monday, How many bags of ofanges did Rey use on Tuesday? Write your answer as a fraction of as a whole of mixed number, bags submit
Ask by Sullivan Delgado. in the United States
Jan 24,2025
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Tutor-Verified Answer
Answer
Rey used \( \frac{4z}{25} \) bags of oranges on Tuesday.
Solution
To determine how many bags of oranges Rey used on Tuesday, let's break down the problem step by step.
### Given:
- **Monday:** Rey used \( \frac{z}{5} \) bags of oranges.
- **Tuesday:** He used \( \frac{4}{5} \) as many oranges as on Monday.
### Calculation:
1. **Determine the amount used on Tuesday:**
- On Tuesday, Rey used \( \frac{4}{5} \) of the amount he used on Monday.
- Therefore, the amount used on Tuesday is:
\[
\frac{4}{5} \times \frac{z}{5} = \frac{4z}{25}
\]
### Answer:
Rey used \( \frac{4z}{25} \) bags of oranges on Tuesday.
This is already in its simplest fractional form. If you prefer to express it as a mixed number and if \( z \) is a value that makes \( 4z \) divisible by 25, you can simplify accordingly. Otherwise, \( \frac{4z}{25} \) is the most straightforward representation.
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Extra Insights
On Monday, Rey used \( \frac{z}{5} \) of a bag of oranges. On Tuesday, he used \( \frac{4}{5} \) of what he used Monday, which can be calculated as: \[ \text{Oranges used on Tuesday} = \frac{4}{5} \times \frac{z}{5} = \frac{4z}{25} \] So, Rey used \( \frac{4z}{25} \) of a bag of oranges on Tuesday. If you want to express it as a fraction, that’s already a proper fraction, but if \( z \) were a specific number, you could simplify it further or convert it into a mixed number if necessary! Keep those math juices flowing!