SOLUTION: 15 articles are bought.some cost 5 c each and the remainder cost 8 c each. if the total amount spent is 90 c, how many of each are bought?

Question 1145901: 15 articles are bought.some cost 5 c each and the remainder cost 8 c each. if the total amount spent is 90 c, how many of each are bought?
Found 2 solutions by VFBundy, solver91311:
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
5 cent items = x
8 cent items = y

Make two equations:

x + y = 15
5x + 8y = 90

Multiply the first equation by -8:

-8x - 8y = -120
5x + 8y = 90

Add both equations together, then solve for x:

-3x = -30
x = 10

Now that we know x = 10, substitute this into either one of the original two equations, then solve for y:

x + y = 15
10 + y = 15
y = 5

5 cent items = x = 10
8 cent items = y = 5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve the 2X2 system for and

John

My calculator said it, I believe it, that settles it

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