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An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for 85.00. A bundle of one video game and two DVDs can be purchased for 49.50. Find the cost of one video game and the cost of one DVD in the bundle

Respuesta :

2 VD + 3 DVD = $85.00 —— eqn1
1 VD + 2 DVD = $49.50 —— eqn2

question: 1 VD + 1 DVD = ?

make VD the same in both eqn, 2 VD :

from eqn2, 1 VD + 2 DVD = $49.50

eqn2 x 2 : 2 VD + 4 DVD = $99.00 —— eqn3

•

eqn3 - eqn1 = price of 1 DVD

$99.00 - $85.00 = $5.00

in conclusion, 1 DVD = $5.00

•

substitute 1 DVD = $5.00 into eq2,

1 VD + 2 DVD = $49.50
1 VD + 2($5.00) = $49.50
1 VD = $39.50

•

therefore,
1 VD + 1 DVD = $ 39.50 + $5.00 = $44.50

The cost of one video game and the cost of one DVD in the bundle is 35.50

Let us consider video game as vd and DVD as d.

So, as given in the question, we get;

  • 2vd+3d = 85

&

  • 1vd+2d=49.5

So, we get two equations from the question;

In equation 2, if we multiply it by 2, we get;

  • 2vd+4d=99

Now, substracting above equation from equation 1, we get;

  • 2vd+4d-2vd-3d=99-85

   ⇒d=14

As we got the value of d, now put it in equation 2, we get;

vd+2*14=49.5⇒vd=49.5-28=21.5

⇒vd=21.5

Therefore, the cost of one vd and cost of one d in the bundle is:

vd+d=14+21.5=35.5

Hence, the cost of one video game and the cost of one DVD in the bundle is 35.5

What is cost explain?

Cost denotes the amount of money that a company spends on the creation or production of goods or services. It does not include the markup for profit. From a seller's point of view, cost is the amount of money that is spent to produce a good or product.

What is cost simple word?

Cost is a value of money that a company had to spend to produce its goods or services. It is calculated as the amount that company spends in order to produce a certain unit of a product. In simple words – it is the money that a company spends on things such as labor, services, raw materials, and more.

To learn more about cost, refer

https://brainly.com/question/27812039

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