Question

Mrs. Barefoot signs her daughter up for dance lessons. She pays $120 for ten lessons and $65 for five lessons. What is the initial cost that Mrs. Barefoot must pay for the dance lessons? What is the cost for twenty-two lessons?

Answer 1

Answer:the initial cost that Mrs. Barefoot must pay for the dance lessons is $10

22 lessons cost $252

Step-by-step explanation:

Let x represent the initial cost that Mrs. Barefoot must pay for the dance lessons.

Let y represent the cost of each lesson.

Mrs. Barefoot signs her daughter up for dance lessons. She pays $120 for ten lessons. This means that

x + 10y = 120 - - - - - - - - - -1

She also pays $65 for five lessons. This means that

x + 5y = 65

Substituting x = 65 - 5y into equation 1, it becomes

65 - 5y + 10y = 120

- 5y + 10y = 120 - 65

5y = 55

y = 55/5 = 11

Substituting y = 11 into x = 65 - 5y , it becomes

x = 65 - 5 × 11

x = 65 - 55

x = 10

The cost of 22 lessons would be

10 + 22 × 11 = $252