Aptitude question??pls help very urgent?

i have 100$.and I ahve to buy 100 flowers.if the cost of the flowers r as below and i have to buy in all 100 flowers,then what r the quantities of each of them.


rose=5$ each


jasminie=1$ each


20 lotus for 1$

Aptitude question??pls help very urgent?
19 roses


80 lotus


1 jasmine








hahaha





19 roses = 95 $


80 lotus = 4 $


1 jasmine = 1 $





95 + 4 + 1 = 100 $


19 roses + 80 lotus + 1 jasmine = 100 flowers
Reply:Let the number of roses be x


Let the number of jasmines be y


Let a group of 20 lotuses be m


x+y+20m=100


5x+y+m=100


4x-19m=0


4x=19m


x=19m/4


Multiply the first equation by 5


5x+5y+100m=500


5x+y+m=100


4y+99m=400


y=(400-99m)/4


(x,y,m) is (19m/4,(400-99m)/4,m)


In 19m/4,


You must have a multiple of 4 for m in order to have a whole number on 19m/4


So, Let us try m=4 and it works!!


Solution:


19roses


1jasmine


80lotuses
Reply:8 rose...


30 jasmine...


600 lotus....