Final answer:
The number of troops on each side varied based on the specific engagement in New York during the Revolutionary War. For instance, Major General John Burgoyne's British forces numbered 6,600 against an American force of 12,000, while in another engagement the American troops numbered around 10,000 against a British force of 20,000.
Step-by-step explanation:
The number of troops each side had at New York during different engagements of the Revolutionary War varied. During the invasion led by Major General John Burgoyne, the American force was approximately 12,000, while the British had about 6,600 personnel. In another instance, at battles such as Long Island, also known as Brooklyn Heights, the American forces totaled about 10,000 troops, whereas the British had a considerably larger force of approximately 20,000 soldiers. General William Howe brought thirty-two thousand troops to Staten Island in preparation for actions around New York. At different times and locations, the number of troops varied, such as the engagement where General George Washington had an American force of 5,466 against General Sir Henry Clinton's 13,500 British troops.