# New Word Problem-Help1

• Oct 18th 2005, 06:29 PM
stomper12000
New Word Problem-Help1
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?
• Oct 19th 2005, 02:31 AM
ticbol
" 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.