Question

There are red, blue, yellow, and green balls in the bag. 3/10 of the balls are red, 2/5 are green, and the rest are blue and yellow. There are twice as many blue balls and yellow balls. There are 17 fewer blue balls than red balls. How many balls are in the bag? a) 50 balls b) 60 balls c) 70 balls d) 80 balls

Answer 1

There are 5 balls in the bag.

Step-by-step explanation:

Let's assume the total number of balls in the bag is x.

Given that 3/10 of the balls are red, we can write it as 3/10x.

Given that 2/5 of the balls are green, we can write it as 2/5x.

Since the rest of the balls are blue and yellow, we can write it as x - (3/10x + 2/5x).

Given that there are twice as many blue and yellow balls, we can write it as 2(x - (3/10x + 2/5x)).

Given that there are 17 fewer blue balls than red balls, we can write it as 2(x - (3/10x + 2/5x)) - 17 = 3/10x.

Simplifying the equation, we get 35x - 17 = 3x. Solving for x, we find x = 5.

Therefore, there are 5 balls in the bag.

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