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Proportional Costs and Budgeting

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Proportional Costs and Budgeting

Calculator and money illustration

🎯 WALT (We Are Learning To)

Today we are learning to:

• Find proportions of costs from given rates (e.g., price for 400g from price per kilogram)

• Connect and apply operations with fractions, decimals, and percentages

• Investigate real-life financial problems such as budgeting and savings targets

💰 Part 1: Proportional Costs

1. Apples cost $4.50 per kilogram. What is the cost of 400g of apples?
2. Mince costs $12.00 per kilogram. Calculate the cost of:

a) 250g = $__________

b) 750g = $__________

c) 1.2kg = $__________

3. Which is the better buy? Circle your answer.

500g of cheese for $6.00

1kg of cheese for $11.50

Show your working:

4. Kumara costs $3.20 per kilogram. Complete the table:

Weight: 200g | Cost: $______

Weight: 600g | Cost: $______

Weight: ____g | Cost: $2.40

📊 Part 2: Budgeting and Savings

5. Sarah wants to save $800 for a school trip. She can save $25 per week. How many weeks will it take her to reach her goal?
6. A family's weekly grocery budget is $180. They spend:

• 40% on meat and dairy

• 25% on fruit and vegetables

• 20% on bread and pantry items

• The rest on household items

Calculate how much they spend on each category:

Meat and dairy: $__________

Fruit and vegetables: $__________

Bread and pantry: $__________

Household items: $__________

7. Jake saves $40 per month in a savings account that earns 3% simple interest per year. How much interest will he earn after one year?
8. Planning a marae dinner for 60 people. Chicken costs $8.50 per kg and you need 150g per person. What is the total cost for chicken?
9. Extension Challenge: Create a weekly budget for a student earning $120 per week from a part-time job. Include savings, transport, food, and entertainment. Show your budget as both dollar amounts and percentages.

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