Jake can eat 3 papayas in one week, so over 4 weeks he will need 3 x 4 = 12 papayas.
His brother can eat 5 papayas in one week, so over 4 weeks he will need 5 x 4 = 20 papayas.
His father can eat 4 papayas in one week, so over 4 weeks he will need 4 x 4 = 16 papayas.
To last for a duration of 4 weeks, Jake needs to purchase a total of 12 + 20 + 16 = 48 papayas from the farmer's market.
#### 48
The answer is: 48
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Jake can eat 3 papayas in one week, his brother can eat 5 papayas, and his father can eat 4 papayas, how many papayas does Jake need to purchase from the farmer's market to last for a duration of 4 weeks?

### Answer:
