on a farm,the number of chickens to the number of cows was in the ratio 5:3. the ratio became 3:2 after 300 chickens were sold, How many more chickens than cows were there at first?
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3
Answer:
Total chickens and ducks in the end are
168
in number.
Explanation:
Let
6
x
and
5
x
be the numbers of chickens and ducks were on the farm. After
63
ducks were sold , remaining ducks were
(
5
x
−
63
)
are in number.
Now by condition ,
6
x
:
(
5
x
−
63
)
=
3
:
1
or
6
x
5
x
−
63
=
3
1
or
6
x
=
15
x
−
189
or
9
x
=
189
or
x
=
189
9
=
21
Total number of chickens and ducks in the end are
(
6
x
)
+
(
5
x
−
63
)
=
11
x
−
63
=
11
⋅
21
−
63
=
231
−
63
=
168
in number.[Ans]
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