Suppose every three adults consume 2 litres of milk and 0.5 kg sugar every day, and the daily consumption of every five children is double the milk and half of the sugar than what the three adults consume. A family has 5 adults and 8 children. Their expenditure on milk and sugar for a month of 30 days, if a half-litre milk packet costs Rs. 25 and a one kg sugar packet costs Rs. 80, is:

1. Consumption rates per day:
Adults: * Milk: 3 adults=2 litres⟹1 adult=
3
2
​
 litres/day

Sugar: 3 adults=0.5 kg⟹1 adult=
3
0.5
​
=
6
1
​
 kg/day

Children:

5 children consume double the milk of 3 adults⟹5 children=2×2=4 litres⟹1 child=
5
4
​
 litres/day

5 children consume half the sugar of 3 adults⟹5 children=
2
0.5
​
=0.25 kg⟹1 child=
5
0.25
​
=
20
1
​
 kg/day

2. Total Daily Consumption for the Family (5 adults and 8 children):

Milk per day:

Total Milk=5×(
3
2
​
)+8×(
5
4
​
)=
3
10
​
+
5
32
​
=
15
50+96
​
=
15
146
​
 litres/day
Sugar per day:

Total Sugar=5×(
6
1
​
)+8×(
20
1
​
)=
6
5
​
+
5
2
​
=
30
25+12
​
=
30
37
​
 kg/day
3. Total Consumption over 30 Days:

Total Milk for 30 days:

Milk
30
​
=
15
146
​
×30=146×2=292 litres
Total Sugar for 30 days:

Sugar
30
​
=
30
37
​
×30=37 kg
4. Total Cost Calculation:

Cost of Milk: 0.5 litre=Rs. 25⟹1 litre=Rs. 50

Cost of Milk=292×50=Rs. 14,600
Cost of Sugar: 1 kg=Rs. 80

Cost of Sugar=37×80=Rs. 2,960
5. Total Budget:

Total Expenditure=14,600+2,960=Rs. 17,560