The ratio of red balls to green balls is 4:3. Three green balls need to be added in order for there to be the same number of green balls and red balls. How many red balls are there?
A. 3
B. 4
C. 8
D. 12
E. 24
The OA is D
Source: Manhattan Prep
The ratio of red balls to green balls is 4:3. Three green
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Initially,
$$\frac{Red\ balls}{Green\ balls}=\frac{4x}{3x}$$
After adding three green balls
$$=\frac{4x}{3x+3}=1$$
$$4x=3x+3$$
$$x=3$$
No of red balls = 4x where x = 3
4 * 3 = 12
12 Red balls
$$Answer\ is\ option\ D$$
$$\frac{Red\ balls}{Green\ balls}=\frac{4x}{3x}$$
After adding three green balls
$$=\frac{4x}{3x+3}=1$$
$$4x=3x+3$$
$$x=3$$
No of red balls = 4x where x = 3
4 * 3 = 12
12 Red balls
$$Answer\ is\ option\ D$$
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We can let the number of red balls and green balls be 4x and 3x, respectively. Thus, we can create the equation:swerve wrote:The ratio of red balls to green balls is 4:3. Three green balls need to be added in order for there to be the same number of green balls and red balls. How many red balls are there?
A. 3
B. 4
C. 8
D. 12
E. 24
The OA is D
Source: Manhattan Prep
3x + 3 = 4x
3 = x
Therefore, there are 4(3) = 12 red balls.
Answer: D
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