Students can buy tickets to a basketball game for $2.00. The admission for nonstudents is $3.00. If 340 tickets are sold and the total receipts are $740, how many student tickets are sold?

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Answer 1 · 2017-04-10T18:11:05

370

$"price"=2$
$"total_price"=740$
$"how_much"=x$

$"how_much"="total_price"/"price"$

$"how_much"=740/2$

$"how_much"=370$

Answer 2 · 2017-04-11T15:35:33

$280$ student tickets were sold.

There are two different prices for tickets: $$2 or $3$

Students pay $2$ and other people pay $3$ .

Let the number of students be $x$
Let the number of other people be $y$

The money paid by all the students is $x xx $2 = $2x$
The money paid by all the others is $y xx $3 = $3y$

We can make two equations:
One for the total number of people: $" "x+y = 340$
One for the total amount of money $" " 2x+3y = 740$

Solve them for $x and y$

$color(white)(.......................)x+y = 340" "A$
$color(white)(.....................)2x+3y = 740" "B$
$A xx -2:-2x-2y = -680" "C$

$B+C:" "y=60$

If $y=60, " then "x = 340-60 = 280$

There were $280$ students and $60$ other people:

Check:

$280$ students pay $$2 = $560$
$60" "$ others pay $$3 = $180$

Total $color(white)(.....................)=$740$