Molly had 6 grandchildren she likes to be fair and buy gifts for all of them at the same time. She found jigsaw puzzles discounted by 50cent. find the original cost of each puzzle if she spent a total of 27.
Let the original cost of each puzzle be x.
She bought 6 puzzles, so the total cost of the puzzles was 6x.
Since the puzzles were discounted by 50 cents, the final cost of each puzzle was x - 0.5.
She spent a total of 27 dollars, so we can write the equation:
6(x - 0.5) = 27
Distributing the 6 results in:
6x - 3 = 27
Adding 3 to both sides gives:
6x = 30
Dividing both sides by 6 gives:
x = 5
Therefore, the original cost of each puzzle was $5. Answer: \boxed{5}.
To find the original cost of each puzzle, we need to take into account that Molly spent a total of $27 and that there were 6 puzzles bought.
Step 1: Determine the total cost of the 6 jigsaw puzzles
Since Molly spent a total of $27 for 6 puzzles, we can divide the total amount spent by the number of puzzles:
Total cost of the puzzles = $27 / 6 = $4.50
Step 2: Determine the original cost of each puzzle
To find the original cost of each puzzle, we need to subtract the discount amount from the final cost. Since Molly got a discount of 50 cents per puzzle, we can subtract that from the total cost:
Original cost of each puzzle = $4.50 - $0.50 = $4.00
Therefore, the original cost of each puzzle was $4.00.