SOLUTION: At the city museum, child admission is $5.80 and adult admission is $9.90 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: At the city museum, child admission is $5.80 and adult admission is $9.90 . On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1      Log On

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Question 1094790: At the city museum, child admission is
$5.80
and adult admission is
$9.90
. On Monday, four times as many adult tickets as child tickets were sold, for a total sales of
$1271.20
. How many child tickets were sold that day?

Answer by Katarekt(3) About Me  (Show Source):
You can put this solution on YOUR website!
Let c be # of child tickets sold
Let a be # of adult tickets sold
a=4c (eq. 1)
1271.20=5.80c+9.90a (eq. 2)
sub eq. 1 into eq. 2, since a=4c
1271.20=5.80c+9.90(4c)
1271.20=5.80c+39.60c
1271.20=45.40c
1271.20/45.40=c
c=28
Therefore, 28 child tickets were sold that day.