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2 years ago

A belt and a pair of pants cost $490 altogether. A bag costs twice as much

Mathematics

1 answer:

m_a_m_a [10]2 years ago

6 0

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;

x + y = 490;
cost of a bag = twice the cost of belt = 2x;
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.

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