SOLUTION: Full price tickets at a concert is $56.50. Students can purchase discounted tickets for $ 49.50. The total tickets sold were 3150 and the total amount was $157,647. How many full p
Algebra.Com
Question 560545: Full price tickets at a concert is $56.50. Students can purchase discounted tickets for $ 49.50. The total tickets sold were 3150 and the total amount was $157,647. How many full priced tickets were sold? How many discounted tickets were sold?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Full price x numbers
student tickets y numbers
x+y=3150 .............1
56.5x+49.5y=157647 .............2
Eliminate y
multiply (1)by -49.5
Multiply (2) by 1
-49.5x-49.5y=-155925
56.5x+ 49.5y= 157647
Add the two equations
7x=1722
/ 7
x=246
plug value of x in (1)
x+y=3150
246+y=3150
y=3150-246
y=2904
Full price 246 numbers
student tickets 2904 numbers
m.ananth@hotmail.ca
RELATED QUESTIONS
A total of 5000 tickets were sold for a concert. Tickets were priced at $20, $30, and... (answered by ikleyn)
Tickets to the "One Direction" concert cost $5 and $8. If 960 tickets were sold for a... (answered by nihar*2013)
Tickets for a concert were sold at $26 each and $36 each.four times as many $26 tickets... (answered by ewatrrr)
Susan sold 50 tickets for a concert. She sold x £2 tickets and y £5 tickets. She... (answered by ikleyn)
Please help me solve this word problem.
Four students about to purchase concert... (answered by CubeyThePenguin)
The price of concert tickets was $8 for students and $10 for nonstudents. There are 1500 (answered by rfer,Earlsdon)
Tickets for a school concert were priced at $3 for students and $6 for non-students.... (answered by jorel1380)
The regular admission rate for a musical is Php 850. For students, senior citizens and... (answered by Theo,josgarithmetic)
Tickets to a concert sere sold to adults for $3 and to students for $2. Is the total... (answered by Fombitz)