Pregunta
4) A class of 27 students goes on a field trip, where they can visit an art muscum or a science museum. For every 5 students that visit the art museum, 4 students visit the science museum. 4)) How many more students visit the art museum than the science museum? (4))
Ask by Salinas Mcguire. in the United States
Jan 24,2025
Solución de tutoría real
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3 more students visit the art museum than the science museum.
Solución
To determine how many more students visit the art museum than the science museum:
1. **Set Up the Ratio:**
- Let \( 5x \) represent the number of students visiting the art museum.
- Let \( 4x \) represent the number of students visiting the science museum.
2. **Total Students:**
\[
5x + 4x = 9x = 27
\]
\[
x = \frac{27}{9} = 3
\]
3. **Calculate Each Group:**
- Art museum visitors: \( 5x = 5 \times 3 = 15 \)
- Science museum visitors: \( 4x = 4 \times 3 = 12 \)
4. **Difference:**
\[
15 - 12 = 3
\]
**Answer:**
3 more students visit the art museum than the science museum.
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Let's break it down! If every 5 students who choose the art museum corresponds to 4 students at the science museum, we can set up a ratio of art to science as 5:4. For every 9 students (5+4=9), 5 go to the art museum and 4 go to the science museum. Now, we can determine how many groups of 9 fit into our class of 27: 27 ÷ 9 = 3 groups. So, multiplying each part of the ratio by 3: Students at the art museum: 5 * 3 = 15 Students at the science museum: 4 * 3 = 12 Finally, the difference is 15 - 12 = 3 students. So, 3 more students visit the art museum than the science museum.
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