Question
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. Each puzzle cost $ ?
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Answers
GPT-4o mini
Let the original cost of each puzzle be \( x \).
Since each puzzle is discounted by 50¢ (or $0.50), the discounted price that Molly pays for each puzzle is \( x - 0.50 \).
Molly has 6 grandchildren, so she buys 6 puzzles. The total cost for the puzzles Molly bought can be expressed as:
\[
6(x - 0.50)
\]
According to the problem, she spent a total of $27, so we can set up the equation:
\[
6(x - 0.50) = 27
\]
Now, we can simplify and 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 \( \boxed{5} \).
Since each puzzle is discounted by 50¢ (or $0.50), the discounted price that Molly pays for each puzzle is \( x - 0.50 \).
Molly has 6 grandchildren, so she buys 6 puzzles. The total cost for the puzzles Molly bought can be expressed as:
\[
6(x - 0.50)
\]
According to the problem, she spent a total of $27, so we can set up the equation:
\[
6(x - 0.50) = 27
\]
Now, we can simplify and 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 \( \boxed{5} \).