Ticket sales

They sold 120 tickets at the children's performance for CZK 3,100. The children cost CZK 20, and the adults cost CZK 40. How many children's tickets have been sold?

Final Answer:

a =  85
b =  35

Step-by-step explanation:


a+b=120
20a+40b=3100

a+b=120
20·a+40·b=3100

a+b = 120
20a+40b = 3100

Pivot: Row 1 ↔ Row 2
20a+40b = 3100
a+b = 120

Row 2 - 1/20 · Row 1 → Row 2
20a+40b = 3100
-b = -35


b = -35/-1 = 35
a = 3100-40b/20 = 3100-40 · 35/20 = 85

a = 85
b = 35

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