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The ratio of red balls to green balls is 4:3. Three green

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by swerve » Fri May 03, 2019 11:55 am
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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
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by deloitte247 » Sun May 19, 2019 2:46 pm
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

$$Answer\ is\ option\ D$$
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by Scott@TargetTestPrep » Tue May 21, 2019 6:27 pm
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
We can let the number of red balls and green balls be 4x and 3x, respectively. Thus, we can create the equation:

3x + 3 = 4x

3 = x

Therefore, there are 4(3) = 12 red balls.

Answer: D

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