Norman and his two brothers have 25 toy cars. 8/25 of them belong to his younger brother and 9/25 belong to his elder brother. How many cars does Norman have?
Understand the Problem
The question is asking for the number of toy cars that Norman has after accounting for the fractions belonging to his two brothers. It provides the total number of toy cars and the fractions that belong to each brother, which requires subtraction to find the answer.
Answer
Norman has $8$ toy cars.
Answer for screen readers
Norman has 8 toy cars.
Steps to Solve
-
Calculate Cars for Younger Brother
To find the number of toy cars belonging to the younger brother, multiply the total number of toy cars by the fraction that belongs to him:
$$ \text{Younger Brother's Cars} = \frac{8}{25} \times 25 = 8 $$ -
Calculate Cars for Elder Brother
Next, find the number of toy cars belonging to the elder brother using the same method:
$$ \text{Elder Brother's Cars} = \frac{9}{25} \times 25 = 9 $$ -
Determine Total Cars for Both Brothers
Add the number of cars from both brothers to get the total:
$$ \text{Total for Brothers} = 8 + 9 = 17 $$ -
Calculate Cars for Norman
Finally, subtract the total number of toy cars belonging to both brothers from the overall total to find how many cars Norman has:
$$ \text{Norman's Cars} = 25 - 17 = 8 $$
Norman has 8 toy cars.
More Information
Norman's total car count reflects the remaining cars after distributing the allotted fractions to his brothers. It's important to break down the totals carefully.
Tips
- Failing to correctly multiply the total number of cars by the fractions for each brother. Make sure to apply the fractions clearly.
- Adding the fractions together directly instead of calculating the number of cars individually for each brother before summing.
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