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 Molly has 6 grandchildren, she buys 6 puzzles.

The total cost of the puzzles, after the discount, can be expressed as:

\[ 6(x - 0.50) \]

Molly spent a total of $27, so we can set up the equation:

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

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 \( \boxed{5} \) dollars.