Answer:
The bars cost 1 each and the drinks cost 2 each.
Step-by-step 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.
