The table below shows the number of toys collected by Sunshine Centre in Year 2021 and Year 2022. Part of the table is covered by an ink blot. The number of soft toys collected and the total number of toys collected were both three-digit numbers.
Type of Toys Year 2021 Year 2022 Wooden Toys 121 80 Electronic Toys 65 74 Soft Toys 18[blot] 200 Total number of toys 3[blot][blot] 354
Each of the statements is either true, false or not possible to tell from the information given. For each statement, put a tick () to indicate your answer.
Statement True False Not possible to tell In Year 2021, more than 50% of the toys collected were soft toys. In Year 2021, 20% of the toys collected were electronic toys. In Year 2022, the number of wooden toys collected was 40% of the number of soft toys collected.
| Type of Toys | Year 2021 | Year 2022 |
|---|---|---|
| Wooden Toys | 121 | 80 |
| Electronic Toys | 65 | 74 |
| Soft Toys | 18[blot] | 200 |
| Total number of toys | 3[blot][blot] | 354 |
| Statement | True | False | Not possible to tell |
|---|---|---|---|
| In Year 2021, more than 50% of the toys collected were soft toys. | |||
| In Year 2021, 20% of the toys collected were electronic toys. | |||
| In Year 2022, the number of wooden toys collected was 40% of the number of soft toys collected. |

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Worked solution
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1. Evaluate Statement 1 by setting up an inequality for the number of soft toys in 2021.
Let the number of soft toys in 2021 be . The total number of toys is .
For soft toys to be more than of the total:
Since is a 3-digit number starting with '18', can be any integer from to . If , the statement is false. If , the statement is true. Thus, it is not possible to tell.
2. Evaluate Statement 2 by checking if 65 is 20% of the total toys in 2021.
If electronic toys were of the total, the total number of toys would be .
However, the minimum possible total is .
Since , the electronic toys cannot be of the total. The statement is False.
3. Evaluate Statement 3 by calculating the percentage of wooden toys relative to soft toys in 2022.
In 2022, there were wooden toys and soft toys.
Percentage .
The statement is True.
Statement 1: Not possible to tell
Statement 2: False
Statement 3: True
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