# Car rent

Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out that will pay 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samuel, therefore, paid only 160 euros.

a) What was the total discount in euros?
b) What was the original price of the daily fee?
c) How many kilometers does Samuel travel?

a =  15 Eur
b =  75 Eur
c =  625 km

### Step-by-step explanation:

175 = b + 0.16 c
160 = b-a + 0.16 c
a = 0.2 b

175 = b + 0.16·c
160 = b-a + 0.16·c
a = 0.2·b

b+0.16c = 175
a-b-0.16c = -160
a-0.2b = 0

Pivot: Row 1 ↔ Row 2
a-b-0.16c = -160
b+0.16c = 175
a-0.2b = 0

Row 3 - Row 1 → Row 3
a-b-0.16c = -160
b+0.16c = 175
0.8b+0.16c = 160

Row 3 - 0.8 · Row 2 → Row 3
a-b-0.16c = -160
b+0.16c = 175
0.032c = 20

c = 20/0.032 = 625
b = 175-0.16c = 175-0.16 · 625 = 75
a = -160+b+0.16c = -160+75+0.16 · 625 = 15

a = 15
b = 75
c = 625

Our linear equations calculator calculates it.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators