Question

You are taking hang gliding lessons. The cost of the first lesson is one and a half × the cost of each additional lesson. You spend $260 for six lessons. How much does each lesson cost?

a) $40
b) $30
c) $20
d) $50

Answer 1

The cost of each additional hang gliding lesson is $40, obtained by setting up an equation where the first lesson costs 1.5 times that of the remaining lessons and solving for the total cost of $260 for six lessons.

Step-by-step explanation:

The student is trying to figure out how much each hang gliding lesson costs if the first lesson is one and a half times the cost of each additional lesson, and the total cost for six lessons is $260.

Let's denote the cost of an additional lesson as 'x'. Therefore, the cost of the first lesson is 1.5x. Since there is one first lesson and five additional lessons, we can set up the following equation to represent the total cost:

1.5x + 5x = $260

Simplify the equation:

6.5x = $260

To find the cost of each additional lesson (x), we divide both sides of the equation by 6.5:

x = $260 / 6.5

x = $40

Therefore, the cost of each additional lesson is $40, which makes the cost of the first lesson 1.5 * $40 = $60. Since option a) is $40, that is the cost of each additional lesson.