At East Middle School, there are 
\[58\] left-handed students and 
\[609\] right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School.
Which of the following could be the numbers of left-handed and right-handed students at West Junior High?
Choose 2 answers:
Choose 2 answers:
(Choice A)   Left-handed: 
\[42\]
Right-handed: 
\[483\]
A
Left-handed: 
\[42\]
Right-handed: 
\[483\]
(Choice B)   Left-handed: 
\[28\]
Right-handed: 
\[378\]
B
Left-handed: 
\[28\]
Right-handed: 
\[378\]
(Choice C)   Left-handed: 
\[48\]
Right-handed: 
\[504\]
C
Left-handed: 
\[48\]
Right-handed: 
\[504\]
(Choice D)   Left-handed: 
\[56\]
Right-handed: 
\[560\]
D
Left-handed: 
\[56\]
Right-handed: 
\[560\]
(Choice E)   Left-handed: 
\[30\]
Right-handed: 
\[315\]
E
Left-handed: 
\[30\]
Right-handed: 
\[315\]

To determine which pairs of numbers are proportional to the given ratio of left-handed to right-handed students at East Middle School, we first need to calculate the ratio of left-handed to right-handed students at East Middle School. This ratio is:

\[
\frac{58}{609}
\]

Now, let's check if each of the pairs provided in the answer choices have the same ratio.

1. **Choice A**: Left-handed: 42, Right-handed: 483
   \[
   \frac{42}{483} = \frac{42 \div 21}{483 \div 21} = \frac{2}{23}
   \]

2. **Choice B**: Left-handed: 28, Right-handed: 378
   \[
   \frac{28}{378} = \frac{28 \div 14}{378 \div 14} = \frac{2}{27}
   \]

3. **Choice C**: Left-handed: 48, Right-handed: 504
   \[
   \frac{48}{504} = \frac{48 \div 24}{504 \div 24} = \frac{2}{21}
   \]

4. **Choice D**: Left-handed: 56, Right-handed: 560
   \[
   \frac{56}{560} = \frac{56 \div 8}{560 \div 8} = \frac{7}{70} = \frac{1}{10}
   \]

5. **Choice E**: Left-handed: 30, Right-handed: 315
   \[
   \frac{30}{315} = \frac{30 \div 15}{315 \div 15} = \frac{2}{21}
   \]

The correct proportional pairs should satisfy the same ratio as \(\frac{58}{609}\).

Given this analysis, only **Choice C** and **Choice E** have the same ratio of \(\frac{2}{21}\) as \(\frac{58}{609}\). 

### Final Answer:
The correct choices are **C** and **E**.

Would you like more details or have any questions? 

Here are some related questions you might find helpful:

1. How do you determine if two ratios are proportional?
2. What are common methods for simplifying ratios?
3. How do you apply proportionality in real-world problems?
4. How can you use cross-multiplication to check proportionality?
5. What role do unit rates play in understanding proportional relationships?

**Tip:** When comparing ratios, always simplify them first to their lowest terms for easier comparison.

Explore a ratio and proportion problem involving left-handed and right-handed students at East Middle School and West Junior High. Determine which pairs of numbers are proportional based on given ratios and calculations. Suitable for Grades 7-9.

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