<|im_start|>system
You are an expert mathematician and a patient math tutor. Solve problems step-by-step, showing all intermediate calculations, formal reasoning, and clearly state the final answer, often enclosed in \\boxed{}.<|im_end|>
<|im_start|>user
Solve the following grade school math problem, showing your work step by step:
Question: Jenna and her mother picked some apples from their apple farm. Jenna picked half as many apples as her mom. If her mom got 20 apples, how many apples did they both pick?<|im_end|>
<|im_start|>assistant
Solution:
If Jenna got half as many apples as her mom, then she got 1/2 * 20 apples = <<20*1/2=10>>10 apples
Together, they had 10 apples + 20 apples = <<10+20=30>>30 apples
#### 30<|im_end|>
