SOLUTION: Sales: A dealer bought some radios for a total of $1200. She gave away 6 radios as gifts, sold each of the rest for $10 more than she paid for each radio, and broke even. How ma

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Sales: A dealer bought some radios for a total of $1200. She gave away 6 radios as gifts, sold each of the rest for $10 more than she paid for each radio, and broke even. How ma      Log On

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Question 129212This question is from textbook Beginning & Intermediate Algebra
: Sales: A dealer bought some radios for a total of $1200. She gave away 6 radios as gifts, sold each of the rest for $10 more than she paid for each radio, and broke even. How many radios did she buy? This question is from textbook Beginning & Intermediate Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="radios bought"

(x-6)((1200/x)+10)=1200

multiplying by x and dividing by 10 __ (x-6)(120+x)=120x __ x^2+114x-720=120x
__ x^2-6x-720=0

factoring __ (x-30)(x+24)=0