Question

Emilio has a gift card with $250 on it. He uses the gift card to buy 5 DVD's.

Adam has a gift card with $150 and uses it to purchase 4 DVD's.

If they both now have the same amount left on their gift cards, how much did each DVD cost?

Answer 1

$100 is the answer i believe

Answer 2

Answer: Each DVD cost $100

Explanation:

So it's a system of equations, where x = DVD price and y = remainder...

250 - 5x = y

150 - 4x = y

Now let's find x by making the y's cancel out.

In order to do this, multiply one equation by -1!

-250 + 5x = -y

150 - 4x = y

Which equals to...

-100 + x = 0

Add 100 to both sides...

x = 100

MEANING that each DVD cost $100. Quite pricey if you ask me!