First, we need to find the total cost of the skateboard and helmet.
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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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Earnings from Mowing Lawns: Jason earned \(\frac{1}{3}\) of the total amount needed for the skateboard and helmet by mowing lawns. \[ \text{Earnings from Mowing Lawns} = \frac{1}{3} \times 63.75 \] \[ \text{Earnings from Mowing Lawns} = 21.25 \]
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Earnings from Babysitting: The rest of the money Jason earned is from babysitting, which is \(\frac{2}{3}\) of the total. Thus: \[ \text{Earnings from Babysitting} = \text{Total Cost} - \text{Earnings from Mowing Lawns} \] \[ \text{Earnings from Babysitting} = 63.75 - 21.25 = 42.50 \]
Therefore, Jason earned $42.50 babysitting.