To find the total number of pieces of candy, we need to multiply the number of bags of candy by the number of pieces in each bag.
Total pieces of candy = Number of bags × Pieces per bag
In this case:
Total pieces of candy = 243 bags × 35 pieces/bag
Now, we can perform the multiplication:
\[ 243 \times 35 = 8505 \]
Therefore, the school has a total of 8505 pieces of candy for the party.