SOLUTION: A Tour organizer must take in $85,200 selling 60 Alaska tour packages. The deluxe tour package sells for $1,800 per person and the standard tour package sells for $1,200 per perso

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A Tour organizer must take in $85,200 selling 60 Alaska tour packages. The deluxe tour package sells for $1,800 per person and the standard tour package sells for $1,200 per perso      Log On


   

Question 964138: A Tour organizer must take in $85,200 selling 60 Alaska tour packages. The deluxe tour package
sells for $1,800 per person and the standard tour package sells for $1,200 per person.
a.) Write the system of equations needed to solve this problem.
b.) Find out how many of each type of package must be sold to yield $85,200 by solving the system.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
S=number standard packages; D=number deluxe packages
S+D=60
S=60-D Use this to substitute for S.
$1200S+$1800D=$85200 Substitute for S from above.
$1200(60-D)+$1800D=$85200
$72000-$1200D+$1800D=$85200 Subtract $72000 from each side.
$600D=$13200 Divide each side by $600
D=22 ANSWER 1:The organizer must sell 22 deluxe packages.
S=60-D=60-22=38 ANSWER 2: The organizer must sell 38 standard packages.
CHECK:
$1200S+$1800D=$85200
$1200(38)+$1800(22)=$85200
($45600)+($39600)=$85200
$85200=$85200