There are some balls in the box. 25% of the balls are green, 45% are red and the rest are blue.There are 30 more red balls than the blue balls.How many green balls are there in the box?
Question
There are some balls in the box. 25% of the balls are green, 45% are red and the rest are blue.There are 30 more red balls than the blue balls.How many green balls are there in the box?
Solution
To solve this problem, we need to follow these steps:
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We know that 25% of the balls are green, 45% are red, and the rest are blue. This means that the blue balls make up 100% - 25% - 45% = 30% of the total balls.
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We also know that there are 30 more red balls than blue balls. Since red balls make up 45% of the total and blue balls make up 30%, this means that 15% of the total balls is equal to 30 balls.
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To find the total number of balls, we can set up the equation: 0.15T = 30, where T is the total number of balls. Solving for T, we get T = 30 / 0.15 = 200 balls.
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Now that we know the total number of balls, we can find the number of green balls. Since green balls make up 25% of the total, there are 0.25 * 200 = 50 green balls.
So, there are 50 green balls in the box.
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