SOLUTION: Creating a linear system for the following. The drama club sold tickets for a play. They made $280 in total and sold 110 tickets. They charged $2 for students and $4 for guests. H

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Creating a linear system for the following. The drama club sold tickets for a play. They made $280 in total and sold 110 tickets. They charged $2 for students and $4 for guests. H      Log On


   

Question 949677: Creating a linear system for the following. The drama club sold tickets for a play. They made $280 in total and sold 110 tickets. They charged $2 for students and $4 for guests. How many students and how many guests attended the play
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
STEP 1: SYSTEM OF EQUATIONS
S=number of student tickets; G=number of guest tickets
S+G=110
S=110-G
$2S+$4G=$280
STEP 2: SOLUTION
$2S+$4G=$280 Substitute for S
$2(110-G)+$4G=$280
$220-$2G+$4G=$280 Subtract $220 from each side.
$2G=$60 Divide each side by $2
G=30 ANSWER: 30 Guest tickets were sold.
S=110-G=110-30=80 ANSWER 2: 80 student tickets were sold
CHECK:
$2(80)+$4(30)=$280
$160+$120=$280
$280=$280