Question

Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $55 a day for food and lodging and $0.45 for each mile traveled. Rita drove 300 miles and was reimbursed $2,335.

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 Rita spend on this trip?

Answer 1

2335 = 55x + 0.45(300)
2335 = 55x + 135.....distribute through the parenthesis
2335 - 135 = 55x.....subtraction property
2200 = 55x ....division property
2200/55 = x ...simplify
40 = x.....she spent 40 days on the trip