[tex]m \: a = 32 \frac{1}{2} \\ m \: a = \frac{65}{2} \\ \\ (a + b) \div 2 = 17 \frac{1}{2} \\ (a + b) \div 2 = \frac{35}{2} \\ a = 75\% \times b \\ a = \frac{75}{100} \times b \\ a = 25\% \times d \\ ( \frac{75}{100} \times b + b) \div 2 = \frac{35}{2} \\ ( \frac{3}{4} b + b) \div 2 = \frac{35}{2} \\ \frac{7}{4} b \div 2 = \frac{35}{2} \\ \frac{7}{4} \times \frac{b}{2} = \frac{35}{2} \\ \frac{7}{8} b = \frac{35}{2} \\ 14b = 280 \\ b = 280 \div 14 \\ b = 20 \\ a = \frac{75}{100} \times 20 \\ a = 15 \\ a = \frac{25}{100} \times d \\ 15 = \frac{25}{100} \times d \\ d = 60 \\ (a + b + c + d) \div 4 = \frac{65}{2} \\ (15 + 20 + c + 60) \div 4 = \frac{65}{2} \\ 15 + 20 + c + 60 = \frac{65}{2} \times 4\\ 15 + 20 + c + 60 = 130 \\ c = 130 - 15 - 20 - 60 \\ c = 35[/tex]
[tex](x + y + z) \div 3 = 46 \frac{2}{3} \\ (x + y + z) \div 3 = \frac{140}{3} \\ z = 25\% \times y \\ z = \frac{25}{100} \times y \\ y = 60\% \times x \\ y = \frac{60}{100} \times x \\ z = \frac{25}{100} \times ( \frac{60}{100} \times x) \\ z = \frac{3}{20} x \\ (x + \frac{60}{100} \times x + \frac{3}{20} x ) \div 3= \frac{140}{3} \\ x + \frac{3}{5} \times + \frac{3}{20} x = \frac{140}{3} \times 3 \\ \frac{60x + 36x + 9x}{60} = 140 \\ \frac{150x}{60} = 140 \\ x = 140 \times \frac{60}{105} \\ x = 80 \\ y = \frac{60}{100} \times 80 \\ y = 48 \\ z = \frac{25}{100} \times 48 \\ z = 12[/tex]
