SOLUTION: Tickets to a soccer match cost $17.25 for adults and $10.50 for students. A group of people purchased 25 tickets for $336.75. How many student tickets were purchased?

Algebra.Com
Question 1110755: Tickets to a soccer match cost $17.25 for adults and $10.50 for students. A group of people
purchased 25 tickets for $336.75.
How many student tickets were purchased?

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Adult x tickets
students y tickets
Equation for tickets

1 x + 1 y = 25 .............1

Equation for amount spent
17.25 x + 10.50 y = 336.75 .............2
Eliminate y
multiply (1)by -10.50
Multiply (2) by 1
-10.50 x -10.50 y = -262.50
17.25 10.50 y = 336.75
Add the two equations
6.75 x = 74.25
/ 6.75
x = 11.00
plug value of x in (1)
11.00 x + y = 25.00
11.00 + y = 25.00
y = 14.00


Adult 11 tickets
students 14 tickets
m.ananth@hotmail.ca

RELATED QUESTIONS

Ticket to a movie cost $7.25 for adults and $5.50 for students. A group of friends... (answered by radikrr)
A group bought 20 tickets to an amusement park for a total cost of $540. Student tickets... (answered by fractalier)
If 129 people attend a concert and tickets for adults cost $2.25 while tickets for... (answered by ikleyn,josgarithmetic,math_tutor2020)
A community group bought 30 tickets to an amusement park at a total cost of $810. They... (answered by lwsshak3)
If 110 people attend a concert and tickets for adults cost $3.5 while tickets for... (answered by math_tutor2020,josgarithmetic)
At a spring concert, tickets for adults cost $4.00 and tickets for students cost $2.50.... (answered by mananth)
A group of 14 people spent $28 for admission tickets to Cinema Uno. The theater charges... (answered by greenestamps)
A school sells a total of 301 tickets for a soccer match. An adult ticket cost $3.00... (answered by checkley79)
If 118 people attend a concert and tickets for adults cost $3.75 while tickets for... (answered by ikleyn)