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 discounting .50 find the original cost of each pupil she spent a total of 27.00

1 answer

To find the original cost of each puzzle, we can start with the information provided:

  1. Molly bought jigsaw puzzles for each of her 6 grandchildren.
  2. She spent a total of $27.00.
  3. 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 \( x \):

  1. Distribute the 6:

\[ 6x - 3 = 27 \]

  1. Add 3 to both sides:

\[ 6x = 30 \]

  1. Divide both sides by 6:

\[ x = 5 \]

Thus, the original cost of each puzzle is $5.00.