Section 3: Personal Finance

3.) After 6 weeks Jackson decided that he is ready to make his purchase. He went to Target and discovered that there is a deal this week that when you purchase a PS5 console you can get a controller for 50% off. The PS5 costs $499.99 and the controller he wants is normally $74.99. With this deal, how much will his total be before tax? Round your answer tot he nearest hundredth.

(1 point)
Responses

$574.98
$574.98

$324.99
$324.99

$287.49
$287.49

$537.49

1 answer

To calculate the total cost before tax, we need to find the discounted price of the controller and then add it to the price of the PS5.

  1. Cost of PS5: $499.99
  2. Normal price of controller: $74.99
  3. Discount on controller: 50% off

Calculating the discount:

\[ \text{Discounted price of controller} = \text{Normal price} \times (1 - \text{Discount}) \]

\[ \text{Discounted price of controller} = 74.99 \times (1 - 0.5) \] \[ = 74.99 \times 0.5 \] \[ = 37.495 \]

Now rounding this figure to the nearest hundredth:

\[ \text{Discounted price of controller} \approx 37.50 \]

Next, we will add the discounted price of the controller to the price of the PS5:

\[ \text{Total cost before tax} = \text{Cost of PS5} + \text{Discounted price of controller} \] \[ = 499.99 + 37.50 \] \[ = 537.49 \]

Therefore, the total before tax is $537.49.

Thus, the correct response is: $537.49.

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