To determine how many weekends Zach needs to work to save enough money for the computer, we can follow these steps:
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First, calculate how much more money Zach needs to save: \[ \text{Total cost of the computer} - \text{Current savings} = 470.80 - 58.30 = 412.50 \]
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Next, determine how many weekends he needs to work to earn that additional amount: \[ \text{Amount needed} \div \text{Earnings per weekend} = 412.50 \div 37.50 \]
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Performing the division: \[ 412.50 \div 37.50 = 11 \]
So, Zach will need to work a minimum of 11 weekends to have enough money to buy the computer.