Question

1. ms. patty charges her piano students $40 per lesson plus a semester recital fee of $55. how many lessons did jamie take if he paid a total of $695 for lessons this semester?

Explanation:

Step1: Define the total cost formula

Let \( x \) be the number of lessons. The total cost \( C \) is the recital fee plus the cost per lesson times the number of lessons, so \( C = 55 + 40x \).

Step2: Substitute the total cost

We know \( C = 695 \), so substitute into the formula: \( 695 = 55 + 40x \).

Step3: Solve for \( x \)

First, subtract 55 from both sides: \( 695 - 55 = 40x \), which simplifies to \( 640 = 40x \). Then divide both sides by 40: \( x=\frac{640}{40}=16 \).

Answer:

Jamie took 16 lessons.