Name 4 problem solving strategies and solve problems 2.2.1 to 2.2.4.

• Draw a diagram
• Look for a pattern
• Work backwards
• Make a list or table

2.2.1
Number of plates made in one hour = 8 400
Number of plates per package = 15
Number of packages made in one hour = $\frac{\text{Total plates}}{\text{Plates per package}}$

There will be 560 packages made in one hour.

2.2.2
Total books for teacher = 45
Total books for doctor = 45
Teacher's novels = $\frac{1}{5} \times 45 = 9$ novels
Doctor's novels = $\frac{2}{3} \times 45 = 30$ novels
Difference in novels = Teacher's novels - Doctor's novels

The teacher has 21 fewer novels than the doctor. (Or the doctor has 21 more novels than the teacher).

2.2.3
Original bill amount = R350,60
VAT rate = 15%
VAT amount = $15\% \times \text{R}350,60$

Total bill amount = Original bill amount + VAT amount

The total amount of the bill will be R403,19.

2.2.4
Cost of one 2-litre bottle = R18,40
Number of bottles bought = 10
Total cost of bottles = $10 \times \text{R}18,40 = \text{R}184,00$

Volume of one bottle = 2 litres = 2000 ml
Total volume of cold drinks = $10 \times 2000 \text{ ml} = 20000 \text{ ml}$
Volume per glass = 200 ml
Number of glasses = $\frac{\text{Total volume}}{\text{Volume per glass}}$

Selling price per glass = R5
Total revenue from selling glasses = $100 \times \text{R}5 = \text{R}500,00$

Profit = Total revenue - Total cost

Your profit is R316,00.

2.2.5
Original taxi ticket cost = R45,00
Increase percentage = 20%
Increase amount = $20\% \times \text{R}45,00$

New cost after increase = Original cost + Increase amount

The taxi ticket will cost R54,00 after the increase.

2.2.6
Total amount of partnership = R200 000
A owns $\frac{3}{5}$
B owns $\frac{2}{5}$

Amount owned by A = $\frac{3}{5} \times \text{R}200 000$

Amount owned by B = $\frac{2}{5} \times \text{R}200 000$

A owns R120 000 and B owns R80 000.

2.2.7
Total amount invested = R30 000 (assuming R3 0000 means R30 000)
Ratio for income to capital growth = 3:5
Total parts in ratio = $3 + 5 = 8$

Amount invested for income = $\frac{3}{8} \times \text{R}30 000$

Amount invested for capital growth = $\frac{5}{8} \times \text{R}30 000$

R11 250 is invested for income and R18 750 is invested for capital growth.

2.2.8
Cans per box = 12
Number of boxes = 9
Total cans = Cans per box $\times$ Number of boxes

There will be 108 cans in 9 boxes.