Parking

One hundred twenty vehicles are parked in the morning. Passenger car is charged 20 CZK and 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and buses stood in the parking?

Correct answer:

a =  112
b =  8

Step-by-step explanation:


a+b = 120
20 a + 50 b = 2640

a+b = 120
20·a + 50·b = 2640

a+b = 120
20a+50b = 2640

Pivot: Row 1 ↔ Row 2
20a+50b = 2640
a+b = 120

Row 2 - 1/20 · Row 1 → Row 2
20a+50b = 2640
-1.5b = -12


b = -12/-1.5 = 8
a = 2640-50b/20 = 2640-50 · 8/20 = 112

a = 112
b = 8

Our linear equations calculator calculates it.



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