Pie Chart Percentages: Stretch (Year 6) | CGP Plus - Free Printable
Educational worksheet: Pie Chart Percentages: Stretch (Year 6) | CGP Plus. Download and print for classroom or home learning activities.
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Step-by-step solution for: Pie Chart Percentages: Stretch (Year 6) | CGP Plus
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Show Answer Key & Explanations
Step-by-step solution for: Pie Chart Percentages: Stretch (Year 6) | CGP Plus
Let’s solve this step by step.
We are told that 69 customers voted for Curry Sauce, and from the pie chart, we see that Curry Sauce = 23%.
That means:
→ 23% of total customers = 69 people
So to find the total number of customers, we can do:
Total customers = 69 ÷ 0.23 = ?
Let’s calculate that:
69 ÷ 0.23 = 6900 ÷ 23 (multiply numerator and denominator by 100 to remove decimal)
Now divide 6900 by 23:
23 × 300 = 6900 → So total customers = 300
✔ That answers question 2: 300 customers took part in the survey altogether.
---
Now let’s fill in the table using percentages and total = 300.
We’ll multiply each percentage by 300 to get number of customers.
- Don’t like chips: 5% → 0.05 × 300 = 15
- Salt and vinegar: 20% → 0.20 × 300 = 60
- Ketchup: 16% → 0.16 × 300 = 48
- Mayonnaise: 4% → 0.04 × 300 = 12
- Curry sauce: 23% → already given as 69
- Gravy: 11% → 0.11 × 300 = 33
- Cheese: 21% → 0.21 × 300 = 63
Let’s double-check: add all numbers → 15 + 60 + 48 + 12 + 69 + 33 + 63 = ?
15+60=75; 75+48=123; 123+12=135; 135+69=204; 204+33=237; 237+63=300 ✔ Perfect.
So now we can complete the table:
| Topping | Don't like chips | Salt and vinegar | Ketchup | Mayonnaise | Curry sauce | Gravy | Cheese |
|------------------|------------------|------------------|---------|------------|-------------|-------|--------|
| Percentage | 5% | 20% | 16% | 4% | 23% | 11% | 21% |
| Number of Customers | 15 | 60 | 48 | 12 | 69 | 33 | 63 |
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Question 3: How many more customers chose cheese than mayonnaise?
Cheese = 63
Mayonnaise = 12
Difference = 63 - 12 = 51
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Question 4: Do more customers prefer curry sauce and gravy, or salt and vinegar and ketchup?
Curry sauce + gravy = 69 + 33 = 102
Salt and vinegar + ketchup = 60 + 48 = 108
108 > 102 → So salt and vinegar and ketchup have more customers.
Answer: salt and vinegar and ketchup
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Question 5: 1/3 of the customers who said they don’t like chips have changed their mind. They now want to say ketchup. What percentage now prefer ketchup? (Round to 2 decimal places if needed.)
Originally, “Don’t like chips” = 15 customers.
1/3 of them change to ketchup → 15 ÷ 3 = 5 customers switch to ketchup.
Original ketchup = 48
New ketchup = 48 + 5 = 53
Total customers still = 300 (no one left, just switched)
New percentage for ketchup = (53 ÷ 300) × 100
Calculate: 53 ÷ 300 = 0.17666...
× 100 = 17.666...% → Round to 2 decimal places → 17.67%
---
Final Answers:
1. Table filled as above.
2. Total customers = 300
3. 51 more customers chose cheese than mayonnaise.
4. More customers prefer salt and vinegar and ketchup.
5. New ketchup percentage = 17.67%
──────────────────────────────────────
Final Answer:
1. Table:
- Don't like chips: 5%, 15
- Salt and vinegar: 20%, 60
- Ketchup: 16%, 48
- Mayonnaise: 4%, 12
- Curry sauce: 23%, 69
- Gravy: 11%, 33
- Cheese: 21%, 63
2. 300
3. 51
4. salt and vinegar and ketchup
5. 17.67%
We are told that 69 customers voted for Curry Sauce, and from the pie chart, we see that Curry Sauce = 23%.
That means:
→ 23% of total customers = 69 people
So to find the total number of customers, we can do:
Total customers = 69 ÷ 0.23 = ?
Let’s calculate that:
69 ÷ 0.23 = 6900 ÷ 23 (multiply numerator and denominator by 100 to remove decimal)
Now divide 6900 by 23:
23 × 300 = 6900 → So total customers = 300
✔ That answers question 2: 300 customers took part in the survey altogether.
---
Now let’s fill in the table using percentages and total = 300.
We’ll multiply each percentage by 300 to get number of customers.
- Don’t like chips: 5% → 0.05 × 300 = 15
- Salt and vinegar: 20% → 0.20 × 300 = 60
- Ketchup: 16% → 0.16 × 300 = 48
- Mayonnaise: 4% → 0.04 × 300 = 12
- Curry sauce: 23% → already given as 69
- Gravy: 11% → 0.11 × 300 = 33
- Cheese: 21% → 0.21 × 300 = 63
Let’s double-check: add all numbers → 15 + 60 + 48 + 12 + 69 + 33 + 63 = ?
15+60=75; 75+48=123; 123+12=135; 135+69=204; 204+33=237; 237+63=300 ✔ Perfect.
So now we can complete the table:
| Topping | Don't like chips | Salt and vinegar | Ketchup | Mayonnaise | Curry sauce | Gravy | Cheese |
|------------------|------------------|------------------|---------|------------|-------------|-------|--------|
| Percentage | 5% | 20% | 16% | 4% | 23% | 11% | 21% |
| Number of Customers | 15 | 60 | 48 | 12 | 69 | 33 | 63 |
---
Question 3: How many more customers chose cheese than mayonnaise?
Cheese = 63
Mayonnaise = 12
Difference = 63 - 12 = 51
---
Question 4: Do more customers prefer curry sauce and gravy, or salt and vinegar and ketchup?
Curry sauce + gravy = 69 + 33 = 102
Salt and vinegar + ketchup = 60 + 48 = 108
108 > 102 → So salt and vinegar and ketchup have more customers.
Answer: salt and vinegar and ketchup
---
Question 5: 1/3 of the customers who said they don’t like chips have changed their mind. They now want to say ketchup. What percentage now prefer ketchup? (Round to 2 decimal places if needed.)
Originally, “Don’t like chips” = 15 customers.
1/3 of them change to ketchup → 15 ÷ 3 = 5 customers switch to ketchup.
Original ketchup = 48
New ketchup = 48 + 5 = 53
Total customers still = 300 (no one left, just switched)
New percentage for ketchup = (53 ÷ 300) × 100
Calculate: 53 ÷ 300 = 0.17666...
× 100 = 17.666...% → Round to 2 decimal places → 17.67%
---
Final Answers:
1. Table filled as above.
2. Total customers = 300
3. 51 more customers chose cheese than mayonnaise.
4. More customers prefer salt and vinegar and ketchup.
5. New ketchup percentage = 17.67%
──────────────────────────────────────
Final Answer:
1. Table:
- Don't like chips: 5%, 15
- Salt and vinegar: 20%, 60
- Ketchup: 16%, 48
- Mayonnaise: 4%, 12
- Curry sauce: 23%, 69
- Gravy: 11%, 33
- Cheese: 21%, 63
2. 300
3. 51
4. salt and vinegar and ketchup
5. 17.67%
Parent Tip: Review the logic above to help your child master the concept of circle graphs worksheet for 6th grade.