Below is an instruction that describes a task. Write a response that appropriately completes the request in Swahili. Please answer in Swahili.

### Instruction:
 Lucy alipoteza theluthi moja ya pesa yake. Kisha akatumia robo moja ya pesa iliyosalia, na akabaki na $15 tu. Lucy alikuwa na pesa kiasi gani mwanzoni?


### Response:
 Theluthi moja ya pesa ya Lucy ni 1 - 1/3 = 2/3.
Hivyo, Lucy ana 2/3 * $x = $x - $x/3 = $x - $x/3 = $x - $x/2 = $x/2 iliyosalia.
Robo moja ya pesa iliyosalia ni 1/4 * $x/2 = $x/8.
Hivyo, Lucy alitumia $x/8 na akabaki na $15, ambayo inamaanisha $x/8 + $15 = $x/2.
Hii inalingana na $x = 2 * 15 = $30.