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 $1,620.

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?

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 $1,620.

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?

igreen · Answer

@Kidthatbro8

igreen · Answer

Your equation is going to be:

$0.60(200) + 50x = 1620$

$Where~0.60 = charge~for~each~mile$

$50 = food~per~day$

$x = days$

$1620 = total~price$

igreen · Answer

Part B:

Use the distributive property to distribute 0.60 into the parenthesis:

$120+50x=1620$

Subtract 120 to both sides:

$50x = 1500$

Divide 50 to both sides:

$x = 30$

igreen · Answer

Part C:

Since we said that x is the number of days, and we solved it and got x = 30. Donna spent 30 days on the trip.

kidthatbro8 · Answer

thank you.

igreen · Answer

No problem.