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To find out how much Jason earned babysitting, we first need to find out how much money he earned in total.
The cost of the skateboard is $45.50 and the cost of the helmet is $18.25. So the total cost of the skateboard and helmet is $45.50 + $18.25 = $<<45.50+18.25=63.75>>63.75.
Jason earned 1/3 of the money by mowing lawns, so he earned $63.75 * 1/3 = $<<63.75*1/3=21.25>>21.25 mowing lawns.
To find out how much he earned babysitting, we subtract the money he earned mowing lawns from the total he earned. So he earned $63.75 - $21.25 = $<<63.75-21.25=42.50>>42.50 babysitting.
Therefore, Jason earned $42.50 babysitting.