Answer: C. Left-handed: 48 Right-handed: 504
E. Left-handed: 30 Right-handed: 315
Explanation:
Here is the completed question:
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?
A. Left-handed: 42 Right-handed: 483
B. Left-handed: 28 Right-handed: 378
C. Left-handed: 48 Right-handed: 504
D. Left-handed: 56 Right-handed: 560
E. Left-handed: 30 Right-handed: 315
Since it's direct proportion, we have to calculate the constant of proportionality which will simply be:
= 609 / 58 = 10.5
A. Left-handed: 42 Right-handed: 483
Constant = 483/42 = 11.5
Incorrect
B. Left-handed: 28 Right-handed: 378
Constant = 378/28 = 13.5
Incorrect
C. Left-handed: 48 Right-handed: 504
Constant = 504/48 = 10.5
Correct
D. Left-handed: 56 Right-handed: 560
Constant = 560/56 = 10
Incorrect
E. Left-handed: 30 Right-handed: 315
Constant = 315/30 = 10.5
Correct
Therefore, the correct options are C and E.