SOLUTION: Bruce sells TVs and radios at his store. The number of radios is half of the number of TVs. If there are at most 285 items in his store, find the range of the amount of radios.

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Question 1143984: Bruce sells TVs and radios at his store. The number of radios is half of the number of TVs. If there are at most 285 items in his store, find the range of the amount of radios.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of radios
Let +y+ = number of TVs
-----------------------------------
(1) +x+%2B+y+%3C=+285+
+x+=+%281%2F2%29%2Ay+
(2) +y+=+2x+
--------------------
Plug (2) into (1)
(1) +x+%2B+2x+%3C=+285+
(1) +3x+%3C=+285+
(1) +x+%3C=+95+
The range of radios is between 1 and 95 inclusive
( assuming there is at least 1 radio, and also,
there still must be 2 TVs for each radio )
For example, if there are 85 radios, there must be
170 TVs