Question

A piano teacher charges $30 for a one hour lesson, and $50 for a two hour lesson. She works for 25 hours in one week, and earns $690. Determine how many two hour lessons she gave.

Answer 1

Suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,
2x+y=25
50x+30y=690
to get the values of x and y we solve the quadratic equation given;
from the top equation:
y=25-2x.......i
substituting i in our second equation we get:
50x+30(25-2x)=690
50x+750-60x=690
-10x=-60
thus;
x=6
hence we conclude that the number of 2 hours classes are 6 hours

Answer 2

D - $20.25 + $5.25x; $99

Hi lol so like I think this is for the wrong question but when I asked mine "A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.

Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?" This came up so the answer for that question I just said it D - $20.25 + $5.25x; $99. No sweat about it but if this is wrong cause its the wrong question dont yall blow up on me. :)