SOLUTION: the student council will sell roses for valentine's day. each arrangement will have one rose and one ribbon. roses are sold by the dozen, and ribbons comes in packages of 10. what

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Question 732222: the student council will sell roses for valentine's day. each arrangement will have one rose and one ribbon. roses are sold by the dozen, and ribbons comes in packages of 10. what is the fewest number of each item that could be purchased with none left over?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
YOU NEED TO FIND THE LOWEST COMMON FACTOR FOR THE VALUES 10 & 12.
WHAT IS THE SMALLEST NUMBER THAT IS DIVISIBLE BY 10 & 12 WITHOUT ANY REMAINDER? TO FIND THIS VALUE, YOU NEED TO FIND ALL THE FACTORS OF 10 & 12 -- THUS:
10=1*2*5
12=1*2*2*3
NOW MULTIPLY ALL FACTORS (EVEN THOSE THAT APPEAR MULTIPLE TIMES).
LCF=1*2*2*3*5=60 ANS.
60/12=5 ARRANGEMENTS OF ROSES.
60/10=6 ARRANGEMENTS OF RIBBONS.
PROOF:
5*12=6*10
60=60