Push ups > Bench Press & calculator question

Ok, so my cousin wanted me to post this for him since hes too damn lazy to do it himself

hes 13 years old, weighs 160lb

he bet his friend $30 he can bench 125 atleast 1 time

he doesnt have any weights so he wants to know how many push ups he has to do that is equivalent to 1 rep of 125lbs (that already includes the bar)



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That was my cousins part, My part is, is this calculator accurate
 
There isn't a calculator for conversion of push ups to bench press. I have students that can 60+ push ups and cannot budge 115. Yet I have students that can only push out 20 or so push ups and can hit 135 for a triple.
 
when you do a pushup, its equivalent to benching 66.4% of your bodyweight or w.e. weight you're pushing up(in case you use weight vests). so to bench 125 at least once, you'd have to push up about 188.5 lbs
 
The trouble with converting '#of pushups' into '1RM bench' is that one deals more with endurance (in the situation you're describing) while one deals with maximal strength
 
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