Determine 6533

A total of 256 tickets were sold for the concert. CZK 2,800 was collected for tickets under the stage, and CZK 2,160 for tickets to the corridors. Determine the price of tickets under the stage and on the corridors, if you know that the ticket under the podium was CZK 10 more expensive than the ticket on the corridor.

Correct answer:

a =  25 kc
b =  15 kc

Step-by-step explanation:

a = 10 + b 2800/a + 2160/b = 256  2800b+ 2160a = 256ab 2800(a10)+2160a=256a(a10)  256a2+7520a28000=0 256a27520a+28000=0 256=28 7520=25547 28000=25537 GCD(256,7520,28000)=25=32  8a2235a+875=0  p=8;q=235;r=875 D=q24pr=235248875=27225 D>0  a1,2=2pq±D=16235±27225 a1,2=16235±165 a1,2=14.6875±10.3125 a1=25 a2=4.375  a=a1=25=25 kc

Our quadratic equation calculator calculates it.

b=a10=2510=15 kc



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