Tickets

The football tournament ticket cost 45 Kc for standing and 120kč for sitting. Sitting spectators was 1/3 more than standing. The organizers collected a total of 12300 Kc. How many seated and standing seats (spectators)?

Correct answer:

a =  60
b =  80

Step-by-step explanation:


b = (1+1/3)a
45a + 120b = 12300

b = (1+1/3)·a
45·a + 120·b = 12300

4a-3b = 0
45a+120b = 12300

Pivot: Row 1 ↔ Row 2
45a+120b = 12300
4a-3b = 0

Row 2 - 4/45 · Row 1 → Row 2
45a+120b = 12300
-13.67b = -1093.33


b = -1093.33333333/-13.66666667 = 80
a = 12300-120b/45 = 12300-120 · 80/45 = 60

a = 60
b = 80

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