Question

Marc just bought an SUV for 52,000. This is 7,600 less than twice what his wife paid for her car last year. How much did his wife pay (in dollars) for her car

Answer 1

$29,800.00

Explanation:

52000 = 2x - 7600 Add 7600 to both sides

52000 + 7600 = 2x

59600 = 2x Divide both sides by 2

29800 = x

Answer 2

Let's call the amount his wife paid for her car "x". We know that:

Marc's car = $52,000

Marc's car = 2x - $7,600

We can substitute the first equation into the second equation

52,000= 2x-7600

52,000+7600=2x

59,600=2x

x=29,800

His wife paid $29,800 for her car.