Question 118007
sold {{{S =650 tickets}}}	

a value {{{V=4375}}}}$

If {{{orchestra }}}seats{{{Os=7.50}}}$

{{{balcony }}}seats {{{Bs=$ 3.50}}}$

then:

{{{650 = Os+Bs}}}……………….(1)
{{{4375= Os(7.50) + Bs(3.50)}}}…………(2)
------------------------------------------------------------------

{{{Os = ( 650 - Bs) }}}………..(1)…substitute it into (2)


{{{4375 = ( 650 - Bs) (7.50)+ Bs (3.50) }}}…………(2)

{{{4375 = ( 650 - Bs) (7.50) + Bs (3.50) }}}………

{{{4375 = ( 650 - Bs) (7.50) + Bs (3.50) }}}……… 

{{{4375 = 4875 – (7.50)Bs+ (3.50)Bs   }}}……… 

{{{4375 = 4875 – 4Bs }}}……… 

{{{ 4B_s = 4875 – 4375}}}……… divide both sides by {{{4}}}

{{{ Bs  = 1218.75 – 1093.75}}}………

{{{ Bs = 125  }}}……tickets…....now substitute iy in (1) to solve for {{{O_s}}}
	

{{{650 = Os+125 }}}……………….(1)

{{{650 - 125 = Os }}}………………

{{{525  = Os }}}………………tickets

Check a value:

{{{4375= 525 (7.50) + 125(3.50)}}}…………(2)

{{{4375= 3937.5+ 437.5}}}…………

{{{4375= 4375}}}…………