Posted by **Kimberly Fields** on Sunday, January 6, 2013 at 4:14pm.

a pottery studio gives three-hour and five-hour 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?

- pre-algebra -
**Reiny**, Sunday, January 6, 2013 at 5:12pm
number of 3-hour classes --- x

number of 5-hour classes --- y

x+y = 41 ----> y = 41-x

3(41)x + 5(41)y = 6437

3x + 5y = 157

sub in the 1st equation ...

3x + 5(41-x) = 157

3x + 205 - 5x = 157

-2x = -48

x = 24

then y = 41-24 = 17

they sold 24 three-hour courses and

17 five-hour courses

- pre-algebra -
**Henry**, Sunday, January 6, 2013 at 5:20pm
X 3-hour classes.

(41-x) 5-hour classes.

41(3x) + 41*5(41-x) = $6,437.

123x + 8405-205x = 6,437

-82x = 6437-8405 = -1968

X = 24 3-hour classes.

41-x = 41-24 = 17 5-hour classes.

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