clmenke2007
contestada

A piano teacher charges $20 per lesson plus a $30 fee for supplies. Another
teacher does not have a supply fee but charges $30 per lesson. After how
many lessons will the cost of the two teachers be the same?

Respuesta :

audreyjones0303

Answer:

3 Lessons

Step-by-step explanation:

Find out the difference between the initial price of each lesson. In this equation it's $10. With that being said, for every lesson the difference will always be $10. So the next lesson would be a $20 lesson and so forth. By the third lesson the difference would be $30. You add the $30 to the $30 per lesson teacher and you'll get $90 which would be equal to the teacher doing it for $30 an hour to begin with.

The total number of lessons when the cost of the two teachers be the same is 3 and this can be determined by forming the linear equation.

Given :

  • A piano teacher charges $20 per lesson plus a $30 fee for supplies.
  • Another  teacher does not have a supply fee but charges $30 per lesson.

The following steps can be used in order to determine the total number of lessons will the cost of the two teachers be the same:

Step 1 - Let the total number of lessons be 'x'.

Step 2 - The total amount of money the first piano teacher earn is:

= 20x + 30

Step 3 - The total amount of money another piano teacher earn is:

= 30x

Step 4 - According to the given data, the cost of the two teachers be the same, that is:

20x + 30 = 30x

Step 5 - Simplify the above equation.

30 = 10x

x = 3

For more information, refer to the link given below:

https://brainly.com/question/2263981

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