# SOLUTION: chickens and rabbits were placed under the same tent. The chickens and the rabbits have a total of 360 legs. If there were 105 animals, how many were rabbits?

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 Click here to see ALL problems on Numbers Word Problems Question 8000: chickens and rabbits were placed under the same tent. The chickens and the rabbits have a total of 360 legs. If there were 105 animals, how many were rabbits?Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Let C = the number of chickens and R = the number of rabbits. Then: 2C + 4R = 360 The total number of legs. and: C + R = 105 The total number of animals. Rewrite this as: C = 105 - R and substitute into the first equation. 2(105 - R) + 4R = 360 Simplify and solve for R, the number of rabbits. 210 - 2R + 4R = 360 Add the R's. 210 + 2R = 360 Subtract 210 from both sides. 2R = 150 Divide both sides by 2. R = 75 There were 75 rabbits.