Final answer:
The total number of people at the party is 240, which includes 60 boys, 120 girls, and 60 adults.
Step-by-step explanation:
At a school party where 1/4 were boys, 1/2 were girls, and the rest were adults, we are given that there were 60 more girls than adults. To solve this, we will set up an equation to find the number of people at the party (total number of people).
Let's denote the number of people in the party as P. The proportion of adults at the party would be the remaining fraction after subtracting the fractions that represent the boys and the girls from 1, which is 1 - (1/4 + 1/2) = 1/4.
Considering the number of girls is half of the total, the number of adults would be P/4 and the number of girls would be P/2. According to the information provided, there are 60 more girls than adults, which can be represented by the equation P/2 = P/4 + 60.
By solving this equation:
- Multiply all terms by 4 to eliminate the denominators: 2P = P + 240.
- Subtract P from both sides to isolate P: P = 240.
So, there were 240 people in total at the party. With that calculated, we know that there were 60 boys, 120 girls, and 60 adults.