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.
#### 150