In a survey, 27% of the people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?
300 people in total
Let the total number of people by
Let number choosing salad be
Let number choosing meat be
Word group by word group:
27% of the peoples chose salad:
In all, 81 people chose salad:
Meat does not come into the equation!!!
Multiply both sides of equation (1) by
So we have:
To really polish off this answer and get good marks you would need to define the unit of measurement or count. Which is people. So you could write something like:
#color(green)("The total number of people is 300")#
300 people is absolutely right answer.
It can be further simply explained as under :-
Percent means per 100 numbers of unit
so 27 % means 27 numbers people out of per 100 Number people
Since 27 people chose salad out of 100 Number people
so what numbers of total people if 81 people choose in actual
27 Nos from 100 Number
81 Nos ???
Answer is total number of people is 300
[ The previous answer and explanation is perfectly right, it is just a alternative and quick method to find out the answer]