prealgebra
posted by Kimberly Fields .
a pottery studio gives threehour and fivehour classes for $41.00 an hour. The studio collects 6,437 for 41 classes. How many 3 hour classes and how many five hour classes were paid for?

number of 3hour classes  x
number of 5hour classes  y
x+y = 41 > y = 41x
3(41)x + 5(41)y = 6437
3x + 5y = 157
sub in the 1st equation ...
3x + 5(41x) = 157
3x + 205  5x = 157
2x = 48
x = 24
then y = 4124 = 17
they sold 24 threehour courses and
17 fivehour courses 
X 3hour classes.
(41x) 5hour classes.
41(3x) + 41*5(41x) = $6,437.
123x + 8405205x = 6,437
82x = 64378405 = 1968
X = 24 3hour classes.
41x = 4124 = 17 5hour classes.