At the city museum, child admission is
$6.10 and adult admission is $9.70. On Sunday,
153 tickets were sold for a total sales of
$1127.70. How many adult tickets were sold?

Looking for some help setting this up

Question

At the city museum, child admission is 
$6.10 and adult admission is $9.70. On Sunday, 
153 tickets were sold for a total sales of 
$1127.70. How many adult tickets were sold?


Looking for some help setting this up

anonymous · Answer

you can set this up as a matrix and solve it 
example:
C + A = 153
6.10C + 9.70A = 1127.70

if you solve using Cramer's rule you'll get C(hildren)  = 99  and A(dult) = 53

you can also solve using substitution using the above equations.