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You buy 4 health bars and 3 health drinks for $10. your friend buys 6 health bars and 2 health drinks for $10.

User Lavonne
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1 Answer

15 votes
15 votes

Answer:

The bars cost 1 each and the drinks cost 2 each.

Explanation:

Let b = bars and d = drinks

4b + 3d = 10 6b + 2d = 10

There are a few ways to solve this. If I want to eliminate the b's from both equations. I would multiple the first equation all the way through by -6 and the second equation all the way through by 4.

4b+ 3d = 10

-6(4b + 3d) =(10)-6 Multiple all the way through by -6

-24b -18d = -60 A positive multiplies by a negative is a negative

6b + 2d = 10

4(6b + 2d) = (10)4 Multiple all the way through by 4

24b + 8d = 40

Take the two bold equations from above and add them together

-24b - 18d = -60

24 b + 8d = 40

-10d = -20 Divide both sides by -10

d = 20 A negative divided by a positive is a negative.

Plug in 2o for d in either of the top two equations and get b = 1.

User Guray Celik
by
3.1k points
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