In 11 months, Yoque will pay a total of $15 x 11 = $<<15*11=165>>165.

The amount $165 is 100% + 10% = 110% of the money she borrowed.

So, 1% is equal to $165/110 = $<<165/110=1.50>>1.50.

Hence, Yoque borrowed $1.50 x 100 = $<<1.50*100=150>>150.

# Answer

150
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Yoque borrowed money from her sister. She promised to pay it back in 11 months including an additional 10% of the money she borrowed. If she pays $15 per month, how much money did she borrow?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
150
Yoque borrowed money from her sister. She promised to pay it back in 11 months including an additional 10% of the money she borrowed. If she pays $15 per month, how much money did she borrow?
train