Caroline has 425 football cards in her collection. She has 5 times as many football cards as Aarón. How many football cards does Aarón have?
Understand the Problem
The question is asking how many football cards Aaron has, given that Caroline has 425 football cards and possesses 5 times as many as Aaron. Therefore, we need to establish a relationship between Caroline's and Aaron's cards using basic algebra.
Answer
Aaron has $85$ football cards.
Answer for screen readers
Aaron has $85$ football cards.
Steps to Solve
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Define the variables Let ( A ) represent the number of football cards that Aaron has.
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Set up the equation According to the problem, Caroline has 5 times as many cards as Aaron. Since Caroline has 425 cards, we can express this relationship mathematically as: $$ 5A = 425 $$
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Solve for ( A ) To find out how many football cards Aaron has, we need to isolate ( A ). We can do this by dividing both sides of the equation by 5: $$ A = \frac{425}{5} $$
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Calculate the value Now, perform the division to find ( A ): $$ A = 85 $$
Aaron has $85$ football cards.
More Information
This problem demonstrates the use of algebra to establish relationships between quantities. It shows how to set up and solve linear equations based on given information.
Tips
- Not correctly setting up the equation based on the relationship described in the problem, such as forgetting that Caroline has 5 times Aaron's cards.
- Miscalculating the division step, which might happen if one is not careful with arithmetic.
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