Question

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1620.
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 Donna spend on this trip?

Answer 1

Well, she drove 200 miles, at a pay of $0.60 per mile travelled.
200 * 0.6 = 120
She got payed $120 for her 200 miles traveled.

Since she gets payed $50 per day, and she got paid $1500 for her food and lodging, she traveled for 30 days as 1500/50 = 30 (Part C answer)

If you were to determine her total pay:
Using variables x for: number of days spent on trip
Y: number of miles traveled.

Total pay = 50x + 0.6y
If you'd rather have only the equation for the number of days spent on her trip:
X = (1620- 0.6(200))/50. (Part A answer)

Solving for x:

X = (1620 - 0.6(200))/50
X = (1620 - 120)/50
X = (1500)/50
X = 30 (Part B answer)

Answer 2

Well damn thank you :)

Answer 3

Sure thing :)