Let's solve this step-by-step:
1. Identify the number of goats Mr. Jones has:
- Mr. Jones has 550 goats.
2. Understand the relationship between Mr. Jones's and Mr. King's goats:
- Mr. Jones's 550 goats are 10% more than the number of goats Mr. King has.
3. Express the goats Mr. Jones has in terms of Mr. King's goats:
- If [tex]\( x \)[/tex] is the number of goats Mr. King has, then Mr. Jones has [tex]\( x + 0.10x = 1.10x \)[/tex] goats.
- We know Mr. Jones has 550 goats, so [tex]\( 1.10x = 550 \)[/tex].
4. Solve for [tex]\( x \)[/tex]:
- [tex]\( x = \frac{550}{1.10} \)[/tex].
- [tex]\( x = 500 \)[/tex].
So, Mr. King has 500 goats.
5. Calculate the difference in the number of goats:
- The difference is [tex]\( 550 - 500 \)[/tex].
6. Subtract to find the difference:
- Mr. Jones has [tex]\( 550 - 500 = 50 \)[/tex] more goats than Mr. King.
Thus, Mr. Jones has 50 more goats than Mr. King.
The correct answer is A. 50.
