SOLUTION: A pottery studio gives two-hour and four-hour ceramics classes for $37 an hour. If the stuido has collected $3848 for a total of 41 classes, how many two-hour and how many four-hou

Question 995000: A pottery studio gives two-hour and four-hour ceramics classes for $37 an hour. If the stuido has collected $3848 for a total of 41 classes, how many two-hour and how many four-hour classes where paid for?
Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
The 2-hour class is 37x2= 74
The 4-hour class is 37x4= 148
And we'll call the 2-hour class "a" and the other"b"
a+b=41, therefore a= 41-b
74a+148b= 3848 Substitute per above:
74(41-b)+148b= 3848 Multiply on left
3034-74b+148b= 3848 Subtract 3034 on both sides and add b's on left:
74b= 814 Divide both sides by 74:
b= 11 4-hour classes and:
41- 11= 30 2-hour classes.
Let's see:
11 x 148= 1628
30 x 74= 2220
Total.....3848 We have the correct answer

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of 2 hr classes
Let = number of 4 hr classes
-----------------------------

----------------
(1)
(2)
------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
------------------------
(2)
(1)
------------------------

and
(1)
(1)
---------------
30 2 hr classes and
11 4 hr classes were paid for
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