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?

Question

Mathematics

Uriel Frye

8 March, 00:30

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?

+3

Answers (1)

Know the Answer?

Acevedo · 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