Half of the herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Please Answer with steps.
Answers
Answered by
1
let the half no of deer be x
grazing=x
playing=3/4 of x
=3x/4
drinking water=9
total no of deer=2*x
=2x
2x=x+3x/4+9
2x-x=3x/4+9
x-3x/4=9
x/4=9
x=36
2x=72
therefore total no deer are 72
Answered by
1
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