Theater

The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD.

How many rows are in the theater?

Result

n =  33

Solution:

191030+19(n10)15=12255  n=1225530101519+10=3319 \cdot 10 \cdot 30 + 19 \cdot (n-10) \cdot 15 = 12255 \ \\ \ \\ n = \dfrac{ 12255-30\cdot 10} { 15 \cdot 19} + 10 = 33

19*10*30 + 19*(n-10)*15 = 12255

285n = 9405

n = 33

Calculated by our simple equation calculator.



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