SOLUTION: The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each. Other students bought tickets at the door for $7 each. In
Algebra ->
Systems-of-equations
-> SOLUTION: The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each. Other students bought tickets at the door for $7 each. In
Log On
Question 1172548: The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each. Other students bought tickets at the door for $7 each. In all, 290 students attended the dance and $1790 was the total for all ticket sales. Find out how many students bought tickets in advance and how many bought tickets at the door. Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each.
Other students bought tickets at the door for $7 each. In all, 290 students attended the dance and $1790 was the total for all ticket sales.
Find out how many students bought tickets in advance and how many bought tickets at the door.
~~~~~~~~~~~~~~~~~~~~~~
Let x be the number of the $7 tickets;
then the number of the $5 tickets is (290-x).
The total money equation is
7x + 5*(290-x) = 1790 dollars.
From the equation
x = = 170.
ANSWER. 170 "at the door" tickets and (290-170) = 120 "advance" tickets.'
CHECK. 170*7 + 120*5 = 1790 dollars, total. ! Correct !
