Final answer:
The smallest share when $2,400 is divided among three boys in the ratio 3:4:5 is $600. The correct answer is option B.
Step-by-step explanation:
When $2,400 is shared among three boys in the ratio 3:4:5, we first need to determine the total number of parts in the ratio. Adding the ratio numbers together, 3 + 4 + 5 equals 12 parts in total. To find the value of one part, divide the total amount of money by the total number of parts, which is $2,400 divided by 12 parts, giving us $200 per part.
Now, we can calculate each boy's share by multiplying the number of parts by the value of each part. The smallest share corresponds to the smallest number in the ratio, which is 3. Thus, the smallest share is 3 parts times $200 per part, resulting in a total of $600.
The correct answer is B. $600, which is the smallest share received by one of the boys when $2,400 is divided in the ratio 3:4:5.