To determine how much Jason earned babysitting, we first need to calculate the total cost of the skateboard and helmet.
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Calculate the total cost: \[ \text{Total cost} = \text{Cost of skateboard} + \text{Cost of helmet} \] \[ \text{Total cost} = 45.50 + 18.25 = 63.75 \]
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Determine how much he earned from mowing lawns: Jason earned \( \frac{1}{3} \) of the total cost by mowing lawns. \[ \text{Earnings from mowing lawns} = \frac{1}{3} \times 63.75 = 21.25 \]
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Calculate how much he earned babysitting: The remainder of his earnings, which is \( \frac{2}{3} \) of the total cost, is what he earned from babysitting. \[ \text{Earnings from babysitting} = \text{Total cost} - \text{Earnings from mowing lawns} \] \[ \text{Earnings from babysitting} = 63.75 - 21.25 = 42.50 \]
Thus, Jason earned $42.50 babysitting.
The answer is: D. $42.50