The florist

A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. If she ties a bouquet of three, four, five or six roses, there will always be one rose left. Determine how many roses the florist sold in total for the morning shipment.

Correct result:

n =  139


n1=200 n2=n1/2=200/2=100  3 ... primenumber 4=22 5 ... primenumber 6=23 LCM(3,4,5,6)=2235=60  x=LCM(3,4,5,6)=60  x<n2 p=x+1=60+1=61  n=n1p=20061=139

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