For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats cost $70 apiece, rear orchestra seats cost $50

apiece, and front balcony seats cost $30 apiece. The combined number of

tickets sold for the front orchestra and rear orchestra exceeded twice the

number of front balcony tickets sold by 400. The total receipts for the

performance were $50,000. Determine how many tickets of each type were

sold?

I NEED HELP PLEASE ! I’ve tried.

Front Orchestra

Rear orchestra

Front balcony

stop cheating

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

the answer would be 0.54