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 1

Let T = number of TVs

R = number of Radios

From the information given T + R <= 285

and R = (1/2)T

So, substituting

T + (1/2)T <= 285

or (3/2)T <= 285

and T <= 190

if T = 190, then R = 95 and if T = 2 then R = 1

So radios could range (practically since you cannot have half a radio! ) from 1 to 95