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

Answer 1

option c) $40

To determine the cost per hang-gliding lesson, an equation summating the cost of the first lesson (1.5 times the cost of additional lessons) and the cost of five more lessons to equal $260 is solved. This reveals that each additional lesson costs $40.

Step-by-step explanation:

To find the cost of each hang-gliding lesson, we can set up an equation based on the information provided. Let's call the cost of the first lesson 1.5x, where x is the cost of each additional lesson. As there are six lessons in total, and the first lesson is one and a half times the cost of the other five lessons, the equation to represent the total cost would be:

1.5x + 5x = $260

Combining like terms gives us:

6.5x = $260

Now we divide both sides by 6.5 to find the value of x:

x = $260 / 6.5

x = $40

So each additional lesson costs $40, and the first lesson costs 1.5 times that amount, which is 1.5 * $40 = $60 (but this particular amount is not asked in the question).

Therefore, the correct answer is option c) $40 for each additional lesson.