SOLUTION: Three kinds of tickets are available for the First day concert:Front, middle, and rear. Front tickets cost $10 more than the middle tickets, while middle ticksts cost $10 more than

Question 164018: Three kinds of tickets are available for the First day concert:Front, middle, and rear. Front tickets cost $10 more than the middle tickets, while middle ticksts cost $10 more than rear tickets.Twice the cost of a front ticket is $20 more than 3 times the cost of a rear ticket. Find the price of each kind of ticket.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Front tickets cost $10 more than the middle tickets, while middle ticksts cost $10 more than rear tickets.Twice the cost of a front ticket is $20 more than 3 times the cost of a rear ticket. Find the price of each kind of ticket.
---------------------------------------
EQUATIONS:
f = m + 10
m = r + 10
2f = 3r + 20
----------------------------
Rearrange the equations:
f - m + 0 = 10
0 + m - r = 10
2f+ 0 -3r = 20
------------------
Use any method you know to solve the system to get:
f = 40
m = 30
r = 20
============
Cheers,
Stan H.
RELATED QUESTIONS
A civic center auditorium has three types of seating front floor rear floor and balcony.... (answered by MLipsky)

For the opening night at the Opera House, a total of 1000 tickets were sold. Front... (answered by solver91311,ikleyn)

For the opening night at the Opera House, a total of 1000 tickets were sold. Front... (answered by ankor@dixie-net.com)

Tickets for the front section to a rock concert cost $25 each. The back section tickets... (answered by rfer)

The circumference of a front and rear wheels of a carriage are,respectively,2 and 4 feet. (answered by edjones)

The circumferences of a front and rear wheels of a carriage are, respectively, 2 and 4... (answered by KMST)

The diameter of the rear and front wheels of a pushcart are 30 and 18 respectively. In... (answered by ankor@dixie-net.com)

adult tickets for the school concert cost $5 and student tickets cost $3.50. the school... (answered by mananth)

There are two types of tickets available for a concert. The reserved-seat tickets cost... (answered by checkley71)