Question

beth and jamal both purchased a new nebulanote1000 tablet. jamal bought his tablet at full price for $410.50, while beth found a discount code that reduced the price of the tablet to $390.55. beth and jamal both bought extra chargers at full price. jamal could afford 1 extra charger, while beth could afford 2 of them. in the end, both friends spent the same amount of money. which equation can you use to find c, the cost of an extra charger? $410.50c + 1 = 390.55c + 2$ $410.50 + c = 390.55 + 2c$ how much does an extra charger cost? $

Explanation:

Part 1: Which equation to find \( c \)

Step1: Analyze Jamal's cost

Jamal bought the tablet at full price (\( \$410.50 \)) and 1 extra charger, so his total cost is \( 410.50 + c \).

Step2: Analyze Beth's cost

Beth bought the tablet at discounted price (\( \$390.55 \)) and 2 extra chargers, so her total cost is \( 390.55 + 2c \).

Step3: Set costs equal

Since their total costs are equal, the equation is \( 410.50 + c = 390.55 + 2c \). The other equation \( 410.50c + 1 = 390.55c + 2 \) is incorrect as it multiplies the tablet price by \( c \), which doesn't make sense.

Step1: Start with the correct equation

We use \( 410.50 + c = 390.55 + 2c \).

Step2: Subtract \( c \) from both sides

\( 410.50 = 390.55 + c \).

Step3: Subtract \( 390.55 \) from both sides

\( c = 410.50 - 390.55 \).

Step4: Calculate the difference

\( c = 19.95 \).

Answer:

\( 410.50 + c = 390.55 + 2c \)

Part 2: How much does an extra charger cost (\( c \))