Let's calculate the total number of people in the room by using the information given.
We know that there are 150 boys, and the rest are girls. If 65% of the total is girls, it means that 35% must be boys.
To find the total number of people, we can set up the following equation:
0.35 * Total = 150 (since 35% represents the number of boys)
To solve for the total, we divide both sides of the equation by 0.35:
Total = 150 / 0.35
Total ≈ 428.57
Since we can't have a fraction of a person, we round the total to the nearest whole number:
Total ≈ 429
Therefore, the total number of people in the room is approximately 429.