A pottery studio gives 3​-hour and 5​-hour ceramics classes for ​$33 an hour. If the studio has collected ​$5511 for a total of 45 ​classes, how many ​3-hour classes and how many ​5-hour classes...

Question

A pottery studio gives 3​-hour and 5​-hour ceramics classes for ​$33 an hour. If the studio has collected ​$5511 for a total of 45 ​classes, how many ​3-hour classes and how many ​5-hour classes were paid​ for?

Blank 3-hour classes (integer or decimal)

Blank 5-hour classes (integer or decimal)

Answer 1

T + F = 45 where T=number of Three hour classes and F = number of Five hour classes

3T + 5F = 5511/33 = 167

3T + 3F = 3(45) = 135

2F = 32

F = 32/2 = 16 Five hour classes

T =45-16 = 29 Three hour classes

(33)(16x5 + 29x3) = 33(80+87) = 33(167) = 5511