Let’s solve each part of the problem step by step, using the pie chart and the total number of customers surveyed:
200.
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1. Complete the table
We are given percentages for each topping. To find the
number of customers, we calculate:
>
Number of customers = (Percentage / 100) × Total customers (200)
Let’s compute each:
-
Salt and vinegar: 20% → 0.20 × 200 =
40
-
Ketchup: 16% → 0.16 × 200 =
32
-
Mayonnaise: 4% → 0.04 × 200 =
8
-
Curry sauce: 23% → 0.23 × 200 =
46
-
Gravy: 11% → 0.11 × 200 =
22
-
Cheese: 21% → 0.21 × 200 =
42
✔ Completed 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 | 10 |
40 |
32 |
8 |
46 |
22|
42 |
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2. How many customers chose either cheese or ketchup?
Add the number of customers who chose cheese and ketchup:
> 42 (cheese) + 32 (ketchup) =
74
✔ Answer: 74 customers
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3. How many more customers chose curry sauce than salt and vinegar?
Subtract salt and vinegar from curry sauce:
> 46 (curry sauce) - 40 (salt and vinegar) =
6
✔ Answer: 6 more customers
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4. Do more customers prefer curry sauce and gravy, or salt and vinegar and ketchup?
Calculate both totals:
-
Curry sauce + Gravy = 46 + 22 =
68
-
Salt and vinegar + Ketchup = 40 + 32 =
72
Compare: 68 < 72 → So
salt and vinegar and ketchup is preferred by more customers.
✔ Answer: More customers prefer salt and vinegar and ketchup.
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5. The manager decided that the customers who don’t like chips should choose their favourite topping anyway. 4 people chose cheese and 6 chose ketchup. What percentage now prefer ketchup?
Originally, 10 customers said “Don’t like chips”. Now, they’ve redistributed:
- 4 chose cheese
- 6 chose ketchup
So, we need to
add these to the original counts for cheese and ketchup.
Original:
- Ketchup: 32
- Cheese: 42
New counts:
- Ketchup: 32 + 6 =
38
- Cheese: 42 + 4 =
46
Total customers remain
200 (no one was added or removed — just reclassified).
Now, calculate the
new percentage for ketchup:
> (38 / 200) × 100 =
19%
✔ Answer: 19% now prefer ketchup
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✔ Final Answers Summary:
1. Table completed above.
2.
74 customers chose either cheese or ketchup.
3.
6 more customers chose curry sauce than salt and vinegar.
4.
More customers prefer salt and vinegar and ketchup (72 vs 68).
5.
19% now prefer ketchup after redistribution.
Let me know if you’d like a visual explanation or breakdown!
Parent Tip: Review the logic above to help your child master the concept of pie graph worksheet.
