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....