Final answer:
The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. We can find the proportional numbers by using the ratio of the left-handed students to the right-handed students at East Middle School. Applying this ratio to the options given, we find that the possible numbers at West Junior High are: Left-handed: 48, Right-handed: 504 and Left-handed: 30, Right-handed: 315.
Step-by-step explanation:
The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. To find the proportional numbers, we can create a ratio by dividing the number of left-handed students at East Middle School by the number of right-handed students at East Middle School. We then use this ratio to find the corresponding numbers at West Junior High.
Ratio = Left-handed students at East Middle School / Right-handed students at East Middle School
Ratio = 58 / 609 = 0.09523 (approximately)
Now, we can multiply this ratio by the number of right-handed students at West Junior High to find the number of left-handed students at West Junior High:
Left-handed students at West Junior High = Ratio * Right-handed students at West Junior High
Let's apply this calculation to the options given:
a. Left-handed: 42, Right-handed: 483
Left-handed students at West Junior High = 0.09523 * 483 = 46.06 (approximately) -- Not a possible answer.
b. Left-handed: 28, Right-handed: 378
Left-handed students at West Junior High = 0.09523 * 378 = 36.06 (approximately) -- Not a possible answer.
c. Left-handed: 48, Right-handed: 504
Left-handed students at West Junior High = 0.09523 * 504 = 48.04 (approximately) -- Possible answer.
d. Left-handed: 56, Right-handed: 560
Left-handed students at West Junior High = 0.09523 * 560 = 53.28 (approximately) -- Not a possible answer.
e. Left-handed: 30, Right-handed: 315
Left-handed students at West Junior High = 0.09523 * 315 = 30 (approximately) -- Possible answer.
Therefore, the possible numbers of left-handed and right-handed students at West Junior High are:
c. Left-handed: 48, Right-handed: 504
e. Left-handed: 30, Right-handed: 315