Question

Rio’s father owns an animal farm in Scotland. He thought of expanding the farm by bringing in new animals. Hence he bought some turkeys and pigs. Rio, being an animal lover was eager to pet and wanted to feed them.
But Rio’s father did not allow him to go fearing that Rio could get hurt. So, Rio decides to sneak out. But he could not see the animals who are kept behind a guarded fence. He looks under the fence and counts the total number of feet to be 280. He counts the number of heads to be 96.

Now, can you tell us how many turkeys did Rio’s father bring to the farm?​

Answer 1

Solution :-

Let us assume that, Rio’s father bring x turkeys and y pigs to the farm .

so,

→ x + y = 96 ---------- Eqn.(1) { Total heads. }

→ 2x + 4y = 280 ------- Eqn.(2) { Total legs as a pig has 4 legs and a turkey as 2 legs. }

Multiply Eqn.(1) by 2 and subtracting the result from Eqn.(2) we get,

→ (2x + 4y) - 2(x + y) = 280 - 2 * 96

→ 2x - 2x + 4y - 2y = 280 - 192

→ 2y = 88

→ y = 44 .

putting value of y in Eqn.(1) ,

→ x + 44 = 96

→ x = 96 - 44

→ x = 52 (Ans.)

Hence, Rio’s father bring 52 turkeys to the farm .

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