Peihua paid $338.40 for 4 similar caps and 10 similar belts. Each belt cost twice as much as a cap. Find the cost of each cap.

1 answer

Let's assume the cost of each cap is x dollars.
So, the cost of each belt is 2x dollars.
The total cost of the caps is 4x dollars.
The total cost of the belts is 10 * (2x) = 20x dollars.
According to the given information, the total cost of the caps and belts is $338.40.
So, 4x + 20x = 338.40
24x = 338.40
Dividing both sides by 24, we get:
x = 338.40/24
x = <<14.1=14.1>>14.1
Hence, the cost of each cap is $14.10. Answer: \boxed{14.10}.