Question

A house costs $18,000, which is 9/10 the cost of a car. A motorcycle costs 1/5 the cost of the car, or 4/5 the cost of 100 cards. How much is the cost of 30 cards?

PLZ PLZ PLZ PLZ PLZ HELP!!!!!!!!!!!!!

Answer 1

The cost of 30 cards is $1,500.

Step-by-step explanation:

To find the cost of 30 cars, we need to follow the given steps:

Step 1: Calculate the cost of the car.

The house costs $18,000, which is $18,000 = (9/10) * cost of the car.

Dividing both sides by 9/10, we get: cost of the car = $18,000 / (9/10) = $18,000 * 10/9 = $20,000.

Therefore, the cost of the car is $20,000.

Step 2: Calculate the cost of the motorcycle.

Since the motorcycle costs 1/5 of the car, the cost of the motorcycle = 1/5 * $20,000 = $4,000.

Step 3: Calculate the cost of 100 cars.

The motorcycle costs 4/5 of the cost of 100 cars, which means the cost of 100 cars = $4,000 / (4/5) = $4,000 * 5/4 = $5,000.

Step 4: Calculate the cost of 30 cars.

Since the cost of 100 cars is $5,000, the cost of 30 cars = ($5,000 / 100) * 30 = $1,500.

Therefore, the cost of 30 cars is $1,500.