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

### Instruction:
400 adults and 200 children go to a Broadway show. The price of an adult ticket is twice that of a child's ticket. What is the price of an adult ticket if the total amount collected is $16,000?

### Response:
 Hebu X iwe bei ya tiketi ya mtoto.
Hivyo, bei ya tiketi ya mtu mzima ni X*2.
Tunajua kutoka kwenye tatizo kwamba 400*X*2 + 200*X = 16,000.
Baada ya kuzidisha, tuna 800*X+ 200*X = 16,000.
Kwa kuunganisha vipengele kama, tuna 1000* X = 16,000.
Kwa kugawanya pande zote mbili na 1000, tuna X = $16.
Bei ya tiketi ya mtu mzima ni $16 * 2 = $<<16*2=32>>32.