SOLUTION: Dear Sir/Madam, I need your help. In a survey, the ratio of the number of people who preferred milk chocolate to those who preferred plain chocolate was 5 : 3 46 more people

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Dear Sir/Madam, I need your help. In a survey, the ratio of the number of people who preferred milk chocolate to those who preferred plain chocolate was 5 : 3 46 more people      Log On


   

Question 714014: Dear Sir/Madam,
I need your help.
In a survey, the ratio of the number of people who
preferred milk chocolate to those who preferred
plain chocolate was 5 : 3
46 more people preferred milk chocolate, to plain chocolate.
How many people were in the survey?
Regards
Tahir
Answer by Simnepi(216) About Me  (Show Source):
You can put this solution on YOUR website!
the ratio 5:3 (milk:plain) shows us that there are '2 parts' more people who prefer milk to plain.
since there are 46 more people, then those 2 parts = 46 people.
giving us 1 part = 23 people.
so 5 parts = 5*23 = 115 people
and 3 parts = 3*23 = 69 people.
this gives a total of 184 people in the survey.