SOLUTION: The band members sold tickets to their concert performance. There were 16 more than twice as many $6 tickets as $5 tickets. The total sales were $1643. How many tickets of each

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Question 181584: The band members sold tickets to their concert performance. There were 16 more than twice as many $6 tickets as $5 tickets. The total sales were $1643. How many tickets of each price were sold?
Answer by Mathtut(3670) About Me  (Show Source):
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The band members sold tickets to their concert performance. There were 16 more than twice as many $6 tickets as $5 tickets. The total sales were $1643. How many tickets of each price were sold?
:
let x and y be the number of $5 and $6 tickets sold respectively
:
y=2x+16..........eq 1
5x+6y=1643.......eq 2
:
take y's value of 2x+16 from eq 1 and plug it into eq 2
:
5x+6(2x+16)=1643
:
5x+12x+96=1643
:
17x=1547
:
highlight%28x=91%29$5 tickets sold
:
highlight%28y=2%2891%29%2B16=198%29$6 tickets sold