起初，一个派对上有一些儿童和132名成人。有 $\frac{6}{11}$ 的成人离开了派对。接着又有14名儿童加入了派对。最后，留在派对上的成人人数和儿童人数相同。

1. Find the fraction of adults who remained at the party

$1 - \frac{6}{11} = \frac{5}{11}$

2. Calculate the number of adults who remained

$\frac{5}{11} \times 132 = 60$

1. Find the number of adults who remained at the party (from part a)

Number of adults at first = $132$
Fraction of adults who left = $\frac{6}{11}$
Fraction of adults who remained = $1 - \frac{6}{11} = \frac{5}{11}$
Number of adults who remained = $\frac{5}{11} \times 132 = 60$

2. Find the number of children at first

In the end, number of children = number of adults who remained = $60$
Since $14$ children joined, number of children at first = $60 - 14 = 46$

3. Find the total number of people at first

Total people at first = adults at first + children at first
Total = $132 + 46 = 178$