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svlad2
10 days ago
8

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.
Mathematics
2 answers:
Zina [11.9K]9 days ago
4 0
Let the number of two-hour lessons be x and the number of one-hour lessons be y; this gives us the equations
2x + y = 25
50x + 30y = 690
To find x and y, we can solve the quadratic equation provided;
from the first equation:
y = 25 - 2x.......i
By substituting equation i into the second equation, we arrive at:
50x + 30(25 - 2x) = 690
50x + 750 - 60x = 690
-10x = -60
So,
x = 6
Thus, we find that the total number of two-hour lessons is 6 hours.
Svet_ta [12.2K]9 days ago
4 0

D - $20.25 + $5.25x; $99

Hey there, I believe this pertains to a different 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 popped up, so I responded with D - $20.25 + $5.25x; $99. No worries if this is wrong because it's for another question, please don't freak out on me.:)

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