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) Each puzzle cost
Let's represent the original cost of each puzzle as "x."
If Molly bought 6 puzzles, the total amount she spent on puzzles at the discounted price is 6 * (x - 0.5).
We know that the total amount she spent is $27, so we can write the equation 6 * (x - 0.5) = 27.
Simplifying the equation, we get 6x - 3 = 27.
Adding 3 to both sides, we get 6x = 30.
Dividing both sides by 6, we find x = 5.
Therefore, each puzzle originally cost $5. Answer: \boxed{5}.
To find the original cost of each puzzle, we need to know the number of puzzles Molly bought.
Let's assume Molly bought x puzzles.
Since each puzzle was discounted by 50¢, we can subtract the discount from the original cost to find the discounted price of each puzzle.
Let's call the original cost of each puzzle "C".
So the discounted price of each puzzle would be C - 0.50.
Now, if Molly bought x puzzles, the total amount she spent on puzzles would be the discounted price of each puzzle multiplied by the number of puzzles: (C - 0.50) * x.
According to the given information, Molly spent a total of $27 on puzzles. So we can set up the equation:
(C - 0.50) * x = 27
Now, we also know that Molly has 6 grandchildren, which means she bought 6 puzzles:
(C - 0.50) * 6 = 27
Simplifying the equation:
6C - 3 = 27
Adding 3 to both sides:
6C = 30
Dividing both sides by 6:
C = 5
Therefore, the original cost of each puzzle was $5.