half of a herd of deer grazing in the field and three fourth of the remaining are playing nearby the rest 9 are drinking water from the pond find the number of there in the deers
Answers
Answered by
14
Let the total no. of deer be x
Then the no.of deers grazing in the field be x/2
no.of deers are playing=3/4× x/2
=3x/8
therefore ,x/2+ 3x/8 + 9 =x
=4x+3x+72/8 = x
=7x+72/8 = x
=7x+72 = 8x
=7x-8x = -72
=-x = 72
so ,x =72
Then the no.of deers grazing in the field be x/2
no.of deers are playing=3/4× x/2
=3x/8
therefore ,x/2+ 3x/8 + 9 =x
=4x+3x+72/8 = x
=7x+72/8 = x
=7x+72 = 8x
=7x-8x = -72
=-x = 72
so ,x =72
Answered by
6
Answer:
the number of deers in the herd are 72
Step-by-step explanation:
let the number of deers in the herd = X
no. of deers grazing in the field = X/2
no. of deers playing nearby = 3/4 of X/2
= (3/4)(X/2)
= 3 X / 8
no. of deers drinking water from nearby pond = 9
according to the question,
9 + X/2 + 3 X / 8 = X
9 + 4 X/8 +3 X/8 = X
9 + 7 X/8 = X
9 = X - 7 X/8
9 = 8 X/8 - 7 X/8
9 = X/8
X = 8×9
X = 72
total number of sheeps = 72
Similar questions
half of herd =x/2
3/4 of remaining half herd =(x/2)(3/4)
=3x/8
remaining deer=9
x=(x/2)+(3x/8)+9
x=(4x+3x+72)/8
8x=7x+72
8x-7x=72
x=72
∴total no.of deers are 72.