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.

Question

How much time did Wendy spend prepping her pie?
Simplify any fractions.

Answer 1

Let's denote the time Wendy spent prepping her pie as \( W \) minutes. According to the problem, Wendy baked her pie for 60 minutes, so the total time it took for Wendy to finish her pie is:

\[ W + 60 \]

Finn spent twice as much time prepping as Wendy, so his prep time is \( 2W \) minutes. He then baked his pie for 35 minutes, making his total time:

\[ 2W + 35 \]

Since both pies finished at the same time, we can set their total times equal to each other:

\[ W + 60 = 2W + 35 \]

To solve for \( W \), we first simplify the equation:

\[ 60 - 35 = 2W - W \] \[ 25 = W \]

Thus, Wendy spent 25 minutes prepping her pie.