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 assume the original cost of each puzzle is x dollars.
Since the puzzles are discounted by 50 cents, their discounted price would be x - 0.50 dollars.
If Molly bought 6 puzzles at the discounted price, she would spend 6 * (x - 0.50) dollars.
We know that she spent a total of $27, so we can write the equation: 6 * (x - 0.50) = 27.
Expanding the equation gives us: 6x - 3 = 27.
Adding 3 to both sides of the equation gives us: 6x = 30.
Dividing both sides of the equation by 6 gives us: x = 5.
Therefore, the original cost of each puzzle is $5. Answer: \boxed{5}.
To find the original cost of each puzzle, you can use the given information that Molly spent a total of $27 and the price of each puzzle was discounted by 50 cents.
Let's assume the original cost of each puzzle is 'x'. Since Molly bought 6 puzzles, the total amount she spent can be calculated by multiplying the original cost of each puzzle by the number of puzzles:
Total amount spent = x * 6
The problem states that each puzzle was discounted by 50 cents, so the discounted price of each puzzle is 'x - 0.50'.
According to the problem, the total amount spent is $27, which gives us the equation:
x * 6 = $27
To find the original cost of each puzzle 'x', we can isolate it by dividing both sides of the equation by 6:
x = $27 / 6
Simplifying the equation:
x = $4.50
Therefore, the original cost of each puzzle is $4.50.