If a

Question

If a<=b<=c<=d<=e<=110 and the average of a,b,c,d,e is 100 what is the least possible value of a?

options: 0 , 20 , 40, 60, 80

jamierox4ev3r · Answer

the layout of this is pretty confusing, is it less than or equal to?

reemii · Answer

the question to start is: if a=0, is it possible to have an average of 100 ?
(test: b=c=d=e=110, average: 440/5 < 100. oops no!)
if a=20, is it possible to have an average of 100?
(test: b=c=d=e=110, average (440+20)/5 .. etc)

jamierox4ev3r · Answer

Basically, is what you wanted to portray this: $$\ge or$$

anonymous · Answer

@reemii  thanks that makes sense!

reemii · Answer

I think the answer is 60. the sum can be at most 500, divided by 5 you have exactly 100.

phi · Answer

a<=b<=c<=d<=e<=110

for a to be smallest, you want b,c,d,e to be largest.
the largest each can be is 110,  

the average in that case would be (a+110+110+110+110)/5
or (a+440)/5

if this equals 100 you have

(a+440)/5  = 100

solve for a

anonymous · Answer

@phi thanks that is a great answer

reemii · Answer

@arykk it's the better one for sure :)