David's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $60 a day for food and lodging and $0.65 for each mile traveled. David drove 600 miles and was reimbursed $3,390.

Part A: Create an equation that will determine the number of days x on the trip.
Part B: Solve this equation justifying each step with an algebraic property of equality.
Part C: How many days did David spend on this trip?

Respuesta :

PART A: $60d + $0.65(600) = $3,390

PART B: $60d + $0.65(600) = $3,390
Multiply $0.65*600
$60d + $390 = $3,390
Subtract 390 from both sides
$60d + $390-$390 = $3,390 - $390
$60d = $3,000
Divide both sides by $60 to figure out d
$60d/$60 = $3,000/$60
d = 50

Part C
50 days