SOLUTION: Jill charges 25$ for a private guitar lesson and 18$ for a group lesson. One day she earned 265$ from 12 students. How many of each type did Jill teach?

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Question 982840: Jill charges 25$ for a private guitar lesson and 18$ for a group lesson. One day she earned 265$ from 12 students. How many of each type did Jill teach?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Better understanding is PER STUDENT.
Privately, 25 dollars PER STUDENT;
Group, 18 dollars PER STUDENT.

p, private students
g, grouped students
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system%28p%2Bg=12%2C25p%2B18g=265%29

Try elimination method to start. Student count equation done as 18p%2B18g=12%2A18
18p%2B18g=216

Equivalent System
system%2818p%2B18g=216%2C25p%2B18g=265%29

%2825p%2B18g%29-%2818p%2B18g%29=265-216
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