Let p be the number of packages Angela delivers and m be the number of meals.

We know that p + m = 27 and p = 8m.

Substituting the second equation into the first equation, we get 8m + m = 27

Combining like terms, we get 9m = 27

Dividing both sides by 9, we get m = 3

# Answer

3
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Angela is a bike messenger in New York. She needs to deliver 8 times as many packages as meals. If she needs to deliver 27 meals and packages combined, how many meals does she deliver?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Angela is a bike messenger in New York. She needs to deliver 8 times as many packages as meals. If she needs to deliver 27 meals and packages combined, how many meals does she deliver?
train