in a tiger National Park the number of the heads and number of the legs of tiger and human visitors were counted it was found there were100 heads and 376 legs find the number of tiger and human visitor in the park and why it is important to take care of tigers
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X is number of tiger y is number of humans
X is number of tiger y is number of humans
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Solution:
Let the number of human visitor be x & of tigers be y.
Then according to the given conditions,
x + y = 100 .......E1
2x + 4y = 376 .......E2
Dividing E2 by 2, we get
x + 2y = 188 ........E3
To solve, subtracting E1 from E3, we get
y = 88
substituting the value of y in E1, we get
x + 88 = 100
or x = 100 - 88
Therefore x = 12
Hence, there are 12 human visitors & 88 tigers in the national park.
Let the number of human visitor be x & of tigers be y.
Then according to the given conditions,
x + y = 100 .......E1
2x + 4y = 376 .......E2
Dividing E2 by 2, we get
x + 2y = 188 ........E3
To solve, subtracting E1 from E3, we get
y = 88
substituting the value of y in E1, we get
x + 88 = 100
or x = 100 - 88
Therefore x = 12
Hence, there are 12 human visitors & 88 tigers in the national park.
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