Let the red cat be represented by x.
Let the yellow cat be represented by y.
Let the white cat be represented by z.
Which means :
[tex] \tt (1) \: \frac{4}{5} (20x - 5)[/tex]
[tex]\tt = \frac{4}{5} \times 20x - \frac {4 }{5} \times 5[/tex]
[tex] \tt= \frac{80x}{5} - \frac{20}{5} [/tex]
[tex]\tt = 16x - 14[/tex]
Thus, the first statement is correct.
[tex]\tt(2) \: \frac{3}{5} ( \frac{1}{3} z - 10)[/tex]
[tex]\tt = \frac{3}{5} \times \frac{1}{3} z - \frac{3}{5} \times 10[/tex]
[tex]\tt = \frac{3}{15} z- \frac{30}{5} [/tex]
[tex]\tt = \frac{1}{5} z - 6[/tex]
Thus, the second statement is a lie.
[tex]\tt(3) \: \frac{1}{9} ( - 9y - 27x)[/tex]
[tex] \tt= \frac{1}{9} \times - 9y - \frac{1}{9} \times 27x[/tex]
[tex]\tt = \frac{ - 9}{ \: \: 9} y - \frac{27}{9} x[/tex]
[tex]\tt = (- y) - 3x[/tex]
Thus, the third statement is correct.
Therefore, the second one is a lie.
