In a municipal cooperative farm, there are 35 animals consisting of chickens and goats. If the total number of legs is 110, how many goats are in the farm?
Answer and explanation
Correct answer: C. 20 goats
- Step 1: Let g be goats (4 legs) and c be chickens (2 legs). c + g = 35 => c = 35 - g. Step 2. Legs equation: 2(35 - g) + 4g = 110 => 70 - 2g + 4g = 110 => 2g = 40 => g = 20. Step 3. Chickens c = 35 - 20 = 15. Check: 152 + 204 = 30 + 80 = 110 legs. *Answer: 20 goats, solving 2(35 - g) + 4g = 110 which simplifies to 2g = 40. Why not the others:** 15 is the number of chickens.
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