SOLUTION: She gave away 6 radios as gifts, sold the rest for $10 more than she paid for each radio, and broke even. How many radios did she buy?

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Question 356394: She gave away 6 radios as gifts, sold the rest for $10 more than she paid for each radio, and broke even. How many radios did she buy?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
to many unknowns for me,ive been looking at this for a half hour if i had the total amount spent i could get an answer.
i get total amount of radios=x
x-6=y where y= the rest of the radios
so 6%2By=x
but then the "z" variable is the total amount spent and "c" the cost of 1 radio
so 10y%2Bc%28x-6%29=z and cx=z


x-6=y
6%2By=x
cx=z
10y%2Bc%28x-6%29=z
well ill give it a shot, to solve for x
10y%2Bc%28x-6%29=z substitute z
10y%2Bc%28x-6%29=cx substitute y
10%28x-6%29%2Bc%28x-6%29=cx
10x-60%2Bcx-6c=cx
10x-60-6c=0
10x=6c%2B60
x=.6c%2B6
.
??
dunno i need one more known variable