Question 185997
Ticket sales. Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?
:
let number of adult and student tickets be a and s respectively
:
a=2s......eq 1
3a+2s=824..eq 2
:
take a's value from eq 1 and plug it into eq 2
:
3(2s)+2s=824
:
8s=824
:
{{{highlight(s=103)}}}number of student tickets
:
{{{a=2s=2(103)=highlight(206)}}}number of adult tickets