Multiple Choice Question

Question

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?

A.
$19.13

B.
$21.25

C.
$30.33

D.
$42.50

Answer 1

To find out how much Jason earned babysitting, we first need to determine the total cost of the skateboard and helmet.

1. Calculate the total cost:

   • Skateboard: $45.50
   • Helmet: $18.25

   Total cost = $45.50 + $18.25 = $63.75

2. According to the problem, Jason earned 1/3 of his money by mowing lawns. This means he earned 2/3 of his money by babysitting.

3. Let \( x \) be the total amount of money Jason earned. Therefore:

   • Money earned by mowing lawns = \( \frac{1}{3}x \)
   • Money earned by babysitting = \( \frac{2}{3}x \)

4. Since the total money he earned is equal to the total cost of the skateboard and helmet, we have: \[ x = 63.75 \]

5. Now, we can find how much he earned babysitting: \[ \text{Money earned babysitting} = \frac{2}{3}x = \frac{2}{3} \times 63.75 \]

   Calculating \( \frac{2}{3} \times 63.75 \): \[ \frac{2}{3} \times 63.75 = \frac{127.5}{3} = 42.50 \]

Thus, the amount Jason earned babysitting is $42.50.

The answer is D. $42.50.