Here are the solutions to the problems: a) (i) Divide 24 in the ratio 7:5. a) (ii) Write 24.60 as a fraction of 2870. Give your answer in its lowest terms. a) (iii) Write 1.92 as a percentage of $1.60

$\text{Value of one part} = \frac{\$24}{12} = \$2$

$\text{First share} = 7 \times \$2 = \$14$ $\text{Second share} = 5 \times \$2 = \$10$ The two amounts are \boxed{\14 and $10}$.

a) (ii) Write $24.60 as a fraction of$2870. Give your answer in its lowest terms.

Both are divisible by 2.

We know $123 = 3 \times 41$. Let's check if 14350 is divisible by 41.

So, we can divide both by 41.

The fraction in its lowest terms is $\boxed{\frac{3}{350}}$.

a) (iii) Write $1.92 as a percentage of 1.60.

The percentage is $\boxed{120\%}$.