A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number G of imported lamps stocked at the store?  Choose one.
A) 3  B) 10  C) 13  D) 20  E) 23
We want to minimize not maximize the expression,.   G=x/20+(410-x)*3/10=123+x/20-3x/10=123-5x/20 --&gt; maximize x to minimize the expression --&gt; x must be the greatest multiple of 20 less than 410, so 400 --&gt; 123-5*400/20=23.   But i'm guessing 123-5x/20 can be written as 123- x/4   if x has to be the greatest multiple of 4 less then 410, then it would be 408.   Hence 123-408/4 --&gt; 123-102 --&gt;21   Yes, you cannot reduce in this case. If x=408, then 5/100*x and (410-x)*3/10 won't be integers.23
<result>E</result>
A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number G of imported lamps stocked at the store?