Material cost of a fan belt is three-elevenths of total cost, and labour cost is five-ninths of material cost. If labour cost is $15, what is total cost of the fan belt?

Answer 1

Let's assume the total cost of the fan belt is x dollars.

The material cost is three-elevenths of the total cost, which means it is (3/11) * x dollars.

The labour cost is five-ninths of the material cost, which means it is (5/9) * (3/11) * x dollars.

Given that the labour cost is $15, we can set up the equation:
(5/9) * (3/11) * x = $15

Multiplying the fractions:
(15/99) * x = $15

To isolate x, we can multiply both sides of the equation by 99/15:
x = $15 * (99/15)

Simplifying:
x = $99

Therefore, the total cost of the fan belt is $99. Answer: \boxed{99}.