To find the original cost of each puzzle, we can start with the information provided:
- Molly bought jigsaw puzzles for each of her 6 grandchildren.
- She spent a total of $27.00.
- Each puzzle had a discount of $0.50.
Let \( x \) be the original cost of one puzzle. The discounted price of each puzzle would then be \( x - 0.50 \).
Since Molly bought 6 puzzles and spent a total of $27.00, we can write the equation:
\[ 6(x - 0.50) = 27 \]
Now, we can solve for \( x \):
- Distribute the 6:
\[ 6x - 3 = 27 \]
- Add 3 to both sides:
\[ 6x = 30 \]
- Divide both sides by 6:
\[ x = 5 \]
Thus, the original cost of each puzzle is $5.00.