Quantity I: Mc Donald farm has only Emus and Lions, the total count of legs was 14 less than 4 times the total count of heads. How many legs are counted in total? Quantity II: Mc Donald Farm has only Emus and Lions, the total count of legs was 15 less than 5 times the total count of the head. How many legs are counted in total?
Quantity I: Mc Donald farm has only Emus and Lions, the total count of legs was 14 less than 4 times the total count of heads. How many legs are counted in total? Quantity II: Mc Donald Farm has only Emus and Lions, the total count of legs was 15 less than 5 times the total count of the head. How many legs are counted in total? Correct Answer Quantity I = Quantity II or No Relation
Calculation:
Quantity I:
We know that Emus have 1 head and 2 legs.
We know that Lions have 1 head and 4 legs.
Let the number of Emus and Lions be x and y respectively.
According to the question:
⇒ (2x + 4y) + 14 = 4 (x + y)
⇒ 2x + 4y + 14 = 4x + 4y
⇒ 2x = 14
⇒ x = 7
∴ No of Emus is 7
Number of legs = (2x + 4y)
⇒ 14 + 4y
Quantity II:
We know that Emus have 1 head and 2 legs.
We know that Lions have 1 head and 4 legs.
Let the number of Emus and Lions be x and y respectively.
According to the question:
⇒ (2x + 4y) + 15 = 5 (x + y)
⇒ 2x + 4y + 15 = 5x + 5y
⇒3x + y = 15
Thus, we can not decide or calculate number of legs exactly.
No Relation can be established.