Determine how much pocket money will each child get. Determine the amount paid for a child in the; first installment, second installment. When is he likely to have a meeting and a follow up visit at the same time?

The ages are 5, 10, 12, and 13 years.

The total pocket money is Shs 520,000.

• Child 1 (5 years old): $5 \times 13,000 = \boxed{\text{65,000 Shs}}$
• Child 2 (10 years old): $10 \times 13,000 = \boxed{\text{130,000 Shs}}$
• Child 3 (12 years old): $12 \times 13,000 = \boxed{\text{156,000 Shs}}$
• Child 4 (13 years old): $13 \times 13,000 = \boxed{\text{169,000 Shs}}$

Set up an equation based on the installment payments.

• First installment = $60\%$ of $T = 0.60T$
• Remaining amount after first installment = $T - 0.60T = 0.40T$
• Second installment = $\frac{2}{3}$ of the remaining amount = $\frac{2}{3} \times 0.40T = \frac{0.80}{3}T$
• Third installment = Shs 160,000 The sum of the installments equals the total fees:

Multiply by 3 to clear the fraction:

The total school fees for a child is Shs 1,200,000.

• Follow-up visits occur every 21 days.
• Weekly meetings occur every 7 days.

This means both events will coincide every 21 days.

The last coincidence was on 11/05/2025. Add 21 days to this date.
May has 31 days.
$11 \text{ (May)} + 21 \text{ days} = 32 \text{ days into May}$
Since May has 31 days, $32 - 31 = 1$.
The next coincidence will be on $\boxed{\text{01/06/2025}}$.