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

Question

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

Abhishek009 · Answer

\frac{R}{B} = \frac{4x}{3x+3} = \frac{1}{1}

Or,  4x = 3x + 3

Or,  x = 3

So,  R = 12 , Answer must be (D)

hk111 · Answer

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?

R:G = 4:3 OR 4x and 3x

since there are 3 more red balls than green balls, we can write 4x-3x=3
x = 3

number of Red balls = 4*3= 12

IMO D

apoorvishnoi · Answer

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?

Red balls = 4x
Green balls = 3x

G+3 = R

3x+3 = 4x
or
x=3

Red balls = 4*3 =  12

Yukta7 · Answer

The ratio given to us is 4 Red Balls :3 Green Balls
Which is the same as 4/3

Now, 3 Balls are to be added to Green Balls to make it equal to the number of Red Balls
which can be written as:

3x+ 3 = 4x (since 4:3 is the ratio and not the number of balls, so we multiply 4 and 3 by x)
Solving for x
4x-3x = 3 
x=3

Therefore, Red Balls = 4(x) = 4(3) = 12

Hence, D is the correct answer

SSG12 · Answer

Solution -

Let the ratio constant be x.
Then, Green Balls=3x and Red Balls=4x.
Now, according to the question, 3x+3 = 4x 
Therefore, x = 3.
Hence, the number of red balls = 4×3 = 12
 Answer Choice-D

uCS2020 · Answer

Red ball = R
Green ball = G
Ratio is R:G = 4:3 which is the same as R/G = 4/3
R/G+3 = 4/4 
Do cross multiplication with each equation

3R=4G
4R=4G+12 
Do simultaneous equations 
-3R=-4G
4R=4G+12

R=12 
Answer=12

D

Posted from my mobile device

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards