b) Three-fourths of a herd of elephants are grazing in the field and half of the remaining are playing nearby. The rest 5 are drinking water from the pond. Find the number of elephants in the herd.
Answers
Answer:
40 Elephants
Step-by-step explanation:
3/4 of the herd is grazing in a field.
1/2 of the remaining are playing nearby.
The other 1/2 of the remaining are drinking from the pond.
Herd remaining after 3/4th herd grazing = 1 - 3/4
= 1/4
1/2 of 1/4th = 1/8
Therefore, 1/8th of the herd is drinking from the pond
1/8th of the herd = 5
Therefore, the complete herd must have 1/8 x 8 elephants(Because 1/8 x 8 = 1)
Hence, there are 40 elephants in the herd.
Answer:
Let x be the total number of deer
2
x
deers are grazing in the field and
4
3
of
2
x
are playing.
There are 9 remaining deer.
∴
4
3
×
2
x
+9=
2
x
⟹
8
3x
−
2
x
=−9
⟹
16
−2x
=−9
⟹ x=72
∴ 36 deers are grazing in the field and 27 are playing.
∴ no. of deers grazing − no. of elephant playing =36−27=9 which is the multiple of 3 and 9.