the total number of lions and peacocks in a certain zoo is so the total numbers of their legs is 140 then find the number of lions and peacocks in the zoo
Answers
Correct Question
The total number of lions and peacocks in a certain zoo is 50 and the total numbers of their legs is 140 then find the number of lions and peacocks in the zoo.
Answer
Number of Lions = 20 and number of Peacocks = 30
Explanation
Let the total number of Lions in the zoo be "x" and Peacocks be "y".
According to question, their are two equation
First one is x + y = 50 and Second one is 4x + 2y = 140
CASE (1)
The total number of Lions and Peacocks in a certain zoo is 50.
→ x + y = 50
→ x = 50 - y
CASE (2)
Total number of Lions and Peacocks legs in the zoo is 140.
We know that Lion has 4 legs and Peacock has 2 legs. So, equation will be
→ 4x + 2y = 140
Take 2 as common from both sides
→ 2(2x + y) = 2(70)
2 throughout cancel. So,
→ 2x + y = 70
Now, substitute value of x from above
→ 2(50 - y) + y = 70
→ 100 - 2y + y = 70
→ - y = 70 - 100
→ y = 30
Substitute value of y in x
→ x = 50 - 30
→ x = 20
Therefore, number of Lions in the zoo is 20 and Peacocks is 30.
Correct Question :-- the total number of lions and peacocks in a certain zoo are 50 and the total numbers of their legs are 140 .. Then find the number of lions and peacocks in the zoo ?
Solution (1) :-
Lets Try it with Basic Method First .
Let their were x Number of lions in the zoo, and y number of Peacocks .
We know that, Lions have 4 legs and peacock have 2 legs.
So, we have now,
→ x + y = 50 ------------------- Equation (1)
→ 4x + 2y = 140 -------------- Equation (2)
Multiplying Equation (1) by 2 now, And than , subtracting it From Equation (2) we get,
→ (4x+2y) - 2(x+y) = 140 - 2*50
→ 4x + 2y - 2x - 2y = 140 - 100
→ 2x = 40
→ x = 20 .
Putting This value in Equation (1) now, we get,
→ 20 + y = 50
→ y = 50 - 20
→ y = 30.
Hence, we can say that Their were 20 Lions in the zoo , and 30 Peacocks.
______________________________
Solution (2) :-
|| ✰✰ Shortcut Trick ✰✰ ||
Question is Always of Animals with 4 legs and 2 legs.
So, we can use :--
☛ Total Number of Four Legs Animals :-
||✪[ Total Legs - 2(Total Heads) ] / 2 ✪||
_________________________________
We have , Total Legs = 140 ,
Total Heads = 50 .
Putting values in Formula we get,
➠ Total Lions = [ 140 - 2*50 ] /2
➠ Total Lions = (140 - 100)/2
➠ Total Lions = 40/2
➠ Total Lions = 20 .
So, we have , Peacocks = 50 -20 = 30 .
Hence, we can say that Their were 20 Lions in the zoo , and 30 Peacocks.
______________________________
❁❁ Similar Question. ❁❁
a shepherd had goats and sheeps when asked how many goats does he have he told he had 112 legs and 32 heads find the num...
https://brainly.in/question/15243904?utm_source=android&utm_medium=share&utm_campaign=question