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Math Problem, I Need Help. This is grade 10 stuff but I don't get it.

#1 User is offline   Ramie.v 

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Posted 23 February 2009 - 03:28 AM

Zidane works in a sporting goods store selling skates. A pair of hockey skates costs $58.00, and a pair of figure skates costs $56.00. One shift, Zidane sold 32 pairs of skates. His receipts totaled $1828, not including taxes.

a. How many pairs of hockey skates did Zidane sell?

b. How many pairs of figure skates did Zidane sell?

1828 = 58( x ) + 56( y )

32 = x + y

X = hockey skates
y = Figure skates

Sorry if this topic doesn't belong here, but hey, it says nerdy stuff.
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#2 User is offline   joie.de.vivre 

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Posted 23 February 2009 - 11:26 AM

isolate x ~
so 32= x+ y becomes x= 32-y
plug that into the 1828=58x + 56y equation to get 1828= 58(32-y) + 56y

rest should be algebra
once you get y, plug that value back in the 32=x+y equation to get x.
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#3 User is offline   citylights. 

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Posted 23 February 2009 - 06:40 PM

You can either use the substitution method (what the poster above me told you to do) or the elimination method. Personally I find the elimination method quicker o_o.

1828 = 58x + 56y
-56 (32 = x + y)

1828 = 58x + 56y
-1792 = -56x -56y
_______________
36 = 2x

x= 18

plug x back into one of the original equations.
(I pick the bottom one cuhs its smaller)

32 = 18 +y
y = 14


There you go (:

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#4 User is offline   Ramie.v 

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Posted 24 February 2009 - 08:10 AM

Thank you. Now I finished my homework. >:)
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