Question

A belt and a pair of pants cost $490 altogether. A bag costs twice as much
as the belt. The pair of pants costs twice as much as the bag. Find the
difference between the cost of the pair of pants and the bag.​

Answer 1

Answer:

$196

Step-by-step explanation:

Lets assume,

cost of a belt = 'x'

cost of a pair of pants = 'y'

Now, According to the question;

1. x + y = 490;
2. cost of a bag = twice the cost of belt = 2x;
3. cost of a pair of pants = twice the cost of bag

    ⇒ y = 2×2x ⇔ 4x

hence, by subtituting the values in equation' we get;

⇒ x + 4x = 490

⇒ 5x = 490

⇒ x = 98

So, the difference between the cost of the pair of pants and the bag ;

⇒ y - 2x

⇒ 4x - 2x

⇒ 2x = 2×98 = 196.