Molly has 6 grandchildren. She likes to be fair and buy gifts for all of them at the same time. She found jigsaw puzzles, each discounted by 50¢. Find the original cost of each puzzle if she spent a total of $27.(1 point)

Question

Each puzzle cost $__

Answer 1

Let the original cost of each puzzle be \( x \). Since the puzzles are discounted by 50¢ (or $0.50), the cost of each puzzle after the discount is \( x - 0.50 \).

Molly is buying puzzles for 6 grandchildren, so the total cost for all the puzzles is:

\[ 6(x - 0.50) = 27 \]

Now, we can solve for \( x \):

1. Distribute the 6:

\[ 6x - 3 = 27 \]

2. Add 3 to both sides:

\[ 6x = 30 \]

3. Divide by 6:

\[ x = 5 \]

Thus, the original cost of each puzzle is:

\[ \boxed{5} \]