document.write( "Question 434899: A pet store has a total of 35 dogs,cats,and rabbits. The number of rabbits is 1 more than the number of dogs & there are 3 fewer rabbits than cats. How many cats are in the pet store? \n" ); document.write( "
Algebra.Com's Answer #301137 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! Let C = the number of cats \n" ); document.write( "Let D = the number of dogs \n" ); document.write( "Let R = the number of rabbits \n" ); document.write( "Given: \n" ); document.write( "C + D + R = 35 (1) \n" ); document.write( "D = R - 1 \n" ); document.write( "C = R + 3 \n" ); document.write( "Substitute the above expressions for D and C into equation (1): \n" ); document.write( "(R+3) + (R-1) + R = 35 \n" ); document.write( "Solve for R: \n" ); document.write( "3R + 2 = 35 \n" ); document.write( "R = 11 \n" ); document.write( "Therefore, the number of cats = R + 3 = 11 + 3 = 14 \n" ); document.write( "Ans: 14 cats \n" ); document.write( " |