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

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

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eqn3 - eqn1 = price of 1 DVD

$99.00 - $85.00 = $5.00

in conclusion, 1 DVD = $5.00

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substitute 1 DVD = $5.00 into eq2,

1 VD + 2 DVD = $49.50

1 VD + 2 ($5.00) = $49.50

1 VD = $39.50

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therefore,

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