Explanation:
Let’s solve each question one by one, step by step.
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1. Lemon juice proportion:
Given: 250 mL of lemon juice in every 1 litre (i.e., 1000 mL) of fruit drink.
a. How much lemon juice for 3 litres?
→ 1 litre needs 250 mL → 3 litres need 3 × 250 =
750 mL
b. How much fruit drink from 2 litres of lemon juice?
→ 250 mL lemon juice makes 1000 mL (1 L) drink
So 1 mL lemon juice makes 1000 ÷ 250 = 4 mL drink
Then 2 L = 2000 mL lemon juice → 2000 × 4 =
8000 mL = 8 litres
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2. Boys to girls ratio:
12 boys for every 3 girls → ratio = 12 : 3
Simplify: divide both by 3 →
4 : 1
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3. Olivia and Charles saved £1000 in ratio 2 : 3
Total parts = 2 + 3 = 5 parts
Each part = £1000 ÷ 5 = £200
a. Olivia saved 2 parts → 2 × £200 =
£400
b. Charles saved 3 parts → 3 × £200 =
£600
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4. Lara spent £200 on clothes and shoes in ratio 3 : 7
Total parts = 3 + 7 = 10
Each part = £200 ÷ 10 = £20
a. Clothes = 3 parts → 3 × £20 =
£60
b. Shoes = 7 parts → 7 × £20 =
£140
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5. Strawberries : raspberries = 3 : 5
a. If strawberries = 240 g
→ 3 parts = 240 g → 1 part = 240 ÷ 3 = 80 g
→ Raspberries = 5 parts = 5 × 80 =
400 g
b. If raspberries = 800 g
→ 5 parts = 800 g → 1 part = 800 ÷ 5 = 160 g
→ Strawberries = 3 parts = 3 × 160 =
480 g
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6. Wholemeal : white flour = 4 : 7
Total parts = 4 + 7 = 11
Loaf = 550 g
a. White flour = 7 parts
1 part = 550 ÷ 11 = 50 g
→ White flour = 7 × 50 =
350 g
b. Wholemeal = 4 parts = 4 × 50 =
200 g
(You can check: 350 + 200 = 550 g — correct.)
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7. Express 210 : 70 in simplest form
Divide both numbers by their highest common factor.
Both divisible by 70:
210 ÷ 70 = 3
70 ÷ 70 = 1
→ Simplest form =
3 : 1
Final Answer:
1a. 750 mL
1b. 8 litres
2. 4 : 1
3a. £400
3b. £600
4a. £60
4b. £140
5a. 400 g
5b. 480 g
6a. 350 g
6b. 200 g
7. 3 : 1
Parent Tip: Review the logic above to help your child master the concept of free proportion worksheet.
