Question 214073
Let {{{x}}} = number of general-admission seats sold
Then {{{450 - x}}} will be the number of reserved-seat tickets sold
given:
Receipts for all tickets = {{{27750}}}
Receipts for general-admission tickets = {{{40x}}}
Receipts for reserved-seat tickets = {{{70*(450 - x)}}}
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{{{40x + 70*(450 - x) = 27750}}}
{{{40x + 31500 - 70x = 27750}}}
{{{-30x = 27750 - 31500}}}
{{{-30x = -3750}}}
{{{x = 125}}}
{{{450 - x = 450 - 125}}}
{{{450 - x = 325}}}
125 general-admission tickets and 325 reserved-seat tickets were sold
check answer:
{{{40x + 70*(450 - x) = 27750}}}
{{{40*125 + 70*325 = 27750}}}
{{{5000 + 22750 = 27750}}}
{{{27750 = 27750}}}
OK