Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned

1/3
of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting?

1 answer

First, we need to find the total cost of the skateboard and helmet.

  1. Total Cost: \[ \text{Total Cost} = \text{Cost of Skateboard} + \text{Cost of Helmet} \] \[ \text{Total Cost} = 45.50 + 18.25 = 63.75 \]

  2. Earnings from Mowing Lawns: Jason earned \(\frac{1}{3}\) of the total amount needed for the skateboard and helmet by mowing lawns. \[ \text{Earnings from Mowing Lawns} = \frac{1}{3} \times 63.75 \] \[ \text{Earnings from Mowing Lawns} = 21.25 \]

  3. 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.