There is a basket containing red and blue balls. 40% of the balls are red and 60% of the balls are blue. Two red balls are added into the basket to make them 50% red and 50% blue balls in the basket. How many balls are in the basket now?
A. 4 B. 10 C. 12 D. 6
Correct Answer: C
Explanation
Let's solve the problem step by step:
1. Define variables: - Let be the number of red balls originally in the basket. - Let be the number of blue balls originally in the basket.
2. Initial proportions: - 40% of the balls are red, so . - 60% of the balls are blue, so .
3. Simplify: - Substitute into the equation: implies . - Rearrange to find : or .
4. Add two red balls: - New number of red balls = . - New total number of balls = .
5. New proportions: - The new proportion of red balls is 50%. Thus: