50 shirts bought for a total of $ 175 are off for $ 3 . 25 each . what was the percentage?
Answers
Answer:
See example
Explanation:
Using an example:
Suppose we had a big animal sanctuary for cats and dogs.
We had say 30 cats and 50 dogs
So by proportion we have:
Using format type 1
cats : dogs
→
30
:
50
→
3
:
5
as ratio (proportions)
But for
3
:
5
we have 3 parts in combination with 5 parts giving a proportion total of
3
+
5
=
8
Converting this to fractions and hence percentage
Cats
=
3
3
+
5
=
3
8
→
3
8
×
100
%
=
ddd
37.5
%
of the whole
Dogs
=
5
3
+
5
=
5
8
→
5
8
×
100
%
=
ddd
62.5
%
of the whole
−−−−−−−−−−−−−−−−−−
ddddddddddddddddd
Added up
→
100.0
%
all of the whole
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using format type 2 - Fraction format
cats
dogs
→
30
50
→
3
5
←
This is NOT a fraction of the whole
Again we have
cats
cats + dogs
→
3
3
+
5
×
100
%
=
37.5
%
of the whole
dogs
cats + dogs
→
5
3
+
5
×
100
%
=
62.5
%
of the whole
−−−−−−−−−−−−−−−−−−
ddddddddddddddddddddddddddd
100.0
%