problem solving

Question

1/9 of the shirts sold at Anne's shop are striped. 5/8 of the remainder are

printed. The rest of the shirts are plain colored shirts. If Anne's shop has 81 plain

colored shirts, there are more printed shirts than plain colored shirts by how

many?

Answer 1

N is the total # of shirts...

N/9 are striped...

(8/9)N remain

5/8*8/9 * N are printed

3/8*8/9 * N = 81 are plain

1/3 N = 81

N = 243

243/9 = 81/3 = 27 are striped...

8/9*n = 8/9*243 = 8*27 = 216 remain

5/8*8/9 * 243 = 5/9*243 = 5*81/3 = 5*27 = 135 are printed

216-135 = 81 are plain, so yes it checks

135 - 81 = 54 more printed than plain