Bunuel wrote:
m760 wrote:
if the White and yellow figures has to be an interger then minum litres possible = LCM of 3 , 5 = 15
with 15 (min figure) the no of litres of yellow and white would be an interger always
So no of litres of red = 15 * 1/4 = 3 3/4
That's not correct: the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer is 9+5+3.75=17.75 liters.
stevie111 wrote:
Apologies for not making my question clear. I did not understand why is the LCM method of arriving at 15 here as posted by 'm760' incorrect?
Bunuel wrote:
m760 incorrectly assumed that 15 liters of paint was the smallest batch of peach paint possible so that the # of gallons of white and yellow paint used to be an integer. Actually it's 17.75 liters.
Please read this:
a-paint-store-makes-peach-paint-according-to-the-formula-129492.html#p1063197 and this:
a-paint-store-makes-peach-paint-according-to-the-formula-129492.html#p1066489Also notice that given formula (White: 3/5 gallon, Red: 1/4 gallon, Yellow: 1/3 gallon), does not give us the shares of each paint for 1 gallon of peach paint since 3/5+1/4+1/3=71/60>1. Shares would be: W:R:Y=36:15:20 --> W:Y=36:20:9:5.
Hope it's clear.
I think what m760 meant was that the smallest number possible so that white and yellow are integers is 15 ( Lcm of 3 and 5 )
anything lesser than 15 will not give white and yellow as integers and the smallest number which will give white and yellow as integers is 15.
so when white and yellow are minimum integers what is red? 3/5 : 1/4 : 1/3 = 9: 15/4 : 5
so as we can see red is 3.75
no where has m760 mentioned that the smallest amount of PEACH PAINT is 15 what he meant was the smallest number by which we have to multiply white( 1/3) and yellow ( 1/5) to make these integers is 15 . so when white and yellow are smallest integers what would be the value of red , red would be 15/4 = 3.75.
I think m760 way is another valid way of doing this sum
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