Hello Friends!
I have a problem figuring this one;
Tickets to the musical cost $8.00 for students and $12.00 for others.
If $520.00 was earned by the sale of 49 tickets, how many student tickets were sold?
" Tickets to the musical cost $8.00 for students and $12.00 for others. If $520.00 was earned by the sale of 49 tickets, how many student tickets were sold?"
Let s = number of tickets for sudents sold.
And x = number of tickets for others sold.
s +x = 49 ---(1)
s(8.00) +x(12.00) = 520.00
8s +12x = 520
Divide both sides by 4,
2s +3x + 130 ----(2)
From (1),
x = 49 -s
Substitute that into (2),
2s +3(49 -s) = 130
2s +147 -3s = 130
2s -3s = 130 -147
-s = -17
s = 17 students ticket sold. -----answer.
Check,
x = 49 -s = 49 -17 = 32 tickets for others sold.
s(8.00) +x(12.00) = 520.00
17*(8.00) +32*(12.00) =? 520.00
136.00 +384.00 =? 520.00
520.00 =? 520.00
Yes, so, okay.