To find out how much Jason earned babysitting, we first need to calculate the total cost of the skateboard and helmet.
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Total Cost:
- Skateboard: $45.50
- Helmet: $18.25
\[ \text{Total Cost} = \text{Skateboard} + \text{Helmet} = 45.50 + 18.25 = 63.75 \]
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Amount Earned from Mowing Lawns: Jason earned \( \frac{1}{3} \) of the total amount through mowing lawns.
\[ \text{Amount from Mowing Lawns} = \frac{1}{3} \times 63.75 \]
To calculate that:
\[ \frac{1}{3} \times 63.75 = 21.25 \]
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Amount Earned Babysitting: The rest of the money was earned through babysitting, which is \( \frac{2}{3} \) of the total amount.
\[ \text{Amount from Babysitting} = \text{Total Cost} - \text{Amount from Mowing Lawns} \] \[ \text{Amount from Babysitting} = 63.75 - 21.25 = 42.50 \]
Thus, Jason earned $42.50 babysitting.