Question
Wendy and Finn started making pies at the same time. Wendy prepped her pie and then baked it for 60 minutes. Finn spent twice as much time prepping as Wendy did and then baked his pie for 35 minutes. Their pies ended up finishing at the same time.
How much time did Wendy spend prepping her pie?
Simplify any fractions.
minutes
How much time did Wendy spend prepping her pie?
Simplify any fractions.
minutes
Answers
GPT-4o mini
Let \( w \) be the time Wendy spent prepping her pie in minutes.
Since Wendy baked her pie for 60 minutes, the total time Wendy took from the start of prep to the finish of baking is:
\[
w + 60
\]
Finn spent twice as much time prepping as Wendy, so the time he spent prepping is:
\[
2w
\]
He then baked his pie for 35 minutes, which means the total time Finn took from the start of prep to the finish of baking is:
\[
2w + 35
\]
According to the problem, both pies finished at the same time, which gives us the equation:
\[
w + 60 = 2w + 35
\]
Now, we can solve for \( w \). First, we'll isolate \( w \):
\[
60 - 35 = 2w - w
\]
This simplifies to:
\[
25 = w
\]
Thus, Wendy spent \(\boxed{25}\) minutes prepping her pie.
Since Wendy baked her pie for 60 minutes, the total time Wendy took from the start of prep to the finish of baking is:
\[
w + 60
\]
Finn spent twice as much time prepping as Wendy, so the time he spent prepping is:
\[
2w
\]
He then baked his pie for 35 minutes, which means the total time Finn took from the start of prep to the finish of baking is:
\[
2w + 35
\]
According to the problem, both pies finished at the same time, which gives us the equation:
\[
w + 60 = 2w + 35
\]
Now, we can solve for \( w \). First, we'll isolate \( w \):
\[
60 - 35 = 2w - w
\]
This simplifies to:
\[
25 = w
\]
Thus, Wendy spent \(\boxed{25}\) minutes prepping her pie.