To determine the minimum number of weekends Zach needs to work to save enough for the computer, we first need to calculate how much more money he needs to save.
- Cost of the computer: $470.80
- Amount Zach already has: $58.30
Now, we find the remaining amount Zach needs:
\[ \text{Remaining amount} = \text{Cost of the computer} - \text{Amount Zach already has} \] \[ \text{Remaining amount} = 470.80 - 58.30 = 412.50 \]
Next, we know that Zach earns $37.50 each weekend. To find out how many weekends he needs to work to earn at least $412.50, we divide the remaining amount by his weekend earnings:
\[ \text{Number of weekends} = \frac{\text{Remaining amount}}{\text{Earnings per weekend}} = \frac{412.50}{37.50} \]
Now we calculate:
\[ \frac{412.50}{37.50} = 11 \]
Thus, Zach needs to work a minimum of 11 weekends to save enough money to buy the computer.
Therefore, the answer is 11.