A zookeeper was asked how many camel's and ostriches there were in the zoo. The zookeeper said,"among the animals there are 60 eyes and 86 feet"
Answers
Answer:
c 13
O 17
Step-by-step explanation:
eyes
2c+2o=60 c+o=30
legs
4c+2o=86 2c+o=43
c 13
o=17
Camels = 13
Ostrich = 17
Given:
among the animals there are 60 eyes and 86 feet
To find:
Number of camels and ostriches
Solution:
An ostrich has 2 legs and camel has 4 legs and both the animals have 2 eyes each.
Let the camels be x and ostrich be y
So there are thirty eyes in total
Eyes of one camel = 2
So total camel eyes = Number of camel * eyes of camel = x*2 = 2x
Eyes of one ostrich = 2
So total ostrich eyes = Number of ostrich * eyes of ostrich = y*2 = 2y
Total eyes = eyes of camel + eyes of ostrich
60 = 2x + 2y
60 = 2(x+y)
60/2 = x+y
x + y = 30
y = 30-x
Now legs of one camel = 4
So, legs of all camel = number of camel * legs of each camel = x*4 = 4x
Legs of ostrich = 2
Legs of all ostrich = Number of ostrich * Legs of each ostrich = y * 2 = 2y
Legs of ostrich + legs of camel = total legs
2y + 4x = 86
2(y+2x) = 86
y + 2x = 86/2
y + 2x = 43
Putting value of y in equation
30-x+2x = 43
x = 43-30 = 13
y = 30-x = 30-13 = 17
Camels = x = 13
Ostrich = y = 17
Hence, there are 13 camels ad 17 ostrich in the zoo.
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