Question 110655
{{{x= grandstand_ tickets}}}

{{{x}}} =${{{10}}}

{{{y= box-seat_ tickets}}}

{{{y}}} =${{{25}}}

The total amount of sales was $67,320

{{{grandstand_ tickets*price + box-seat_ tickets*price =67,320_dollars}}}

Then

{{{10*x + 25*y = 67320}}}

Now, we also know that {{{six_ times_ as_ many}}} grandstand tickets as box-seat tickets were sold which means 

{{{x=6y}}}……substitute it in previous equation

{{{10*6y + 25*y = 67320}}}


{{{60y + 25y = 67320}}}

{{{85y = 67320}}}…...divide both sides by {{{85}}}

{{{y = 792}}}...............number of {{{box-seat_ tickets}}} sold

Now find {{{x}}}

{{{x=6y}}}……

{{{x=6*792}}}……

{{{x=4752}}}…….............number of {{{grandstand_ tickets}}} sold

Check:


{{{10*x + 25*y = 67,320}}}

{{{10*4752 + 25*792 = 67320}}}

{{{47520 + 19800= 67320}}}

{{{67320 = 67320}}}