Word Problems

[swerve]

A group of x people is practicing levitation yoga. One-fourth of the people rise up in the air, and after a while, 3 of them come back down. How many people are now practicing yoga on the group?

A. \(\dfrac{2}{3}(x+3)\)

B. \(\dfrac{3}{4}(x+4)\)

C. \(3(4x+4)\)

D. \(3(x+4)\)

E. \(4(3x+4)\)

The OA is B

Source: Economist GMAT

[Neha sharma]

ImO- B

Total people is -x
People in air =1x/4
Remaining =3x/4
Return-3
Now in group= 3x/4+3
=3(x+4)/4

[Neha sharma]

ImO- B

Total people is -x
People in air =1x/4
Remaining =3x/4
Return-3
Now in group= 3x/4+3
=3(x+4)/4

[Scott@TargetTestPrep]

A group of x people is practicing levitation yoga. One-fourth of the people rise up in the air, and after a while, 3 of them come back down. How many people are now practicing yoga on the group?

A. \(\dfrac{2}{3}(x+3)\)

B. \(\dfrac{3}{4}(x+4)\)

C. \(3(4x+4)\)

D. \(3(x+4)\)

E. \(4(3x+4)\)

The OA is B

Solution:

[Note: We are assuming the question is asking for the number of people who are practicing yoga on the ground, instead of on the group.]

When 1/4 of the x people levitate, the number of people on the ground is 3x/4. Since 3 people come back down, the number of people on the ground is now:

3x/4 + 3

3x/4 + 12/4

(3x + 12)/4

3(x + 4)/4

Answer: B