Linear equations-3

Algebra Level 3

A florist was asked to make a bouquet with exact Rs.1000 with 100 sticks of roses of three colours Pink,Yellow and Red.While pink roses cost Rs.0.50 per stick,red roses cost Rs.10 per stick and yellow roses cost Rs. 50 per stick.

How many red roses did the florist use in the bouquet?

NOTE:Here,Rs. Is Indian Currency Rupees.


The answer is 1.

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1 solution

Naitik Sanghavi
Jun 9, 2015

From the information given,we have Let p=pink roses,r=red roses,y=yellow roses So, 0.5p+10r+50y=1000.......1 p+r+y=100......2 Multiplying 10 on both sides of eq.2 10p+10r+10y=1000...3 Now subtracting eq.1from eq.3,,we have,, 9.5p-40y=0 p/y=40/9.5 p/y=400/95 p/y=80/19 Therefore pink roses =80 Yellow roses =19 Red roses=100-(80+19)=1 Thus,red roses =1

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