Each of the items in a box is either a ball or a cube and

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Fri Oct 05, 2018 1:48 pm

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Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

A. 18%
B. 25%
C. 46%
D. 50%
E. 54%

The OA is B.

Source: EMPOWERgmat

Source: Beat The GMAT — Problem Solving | Fri Oct 05, 2018 1:48 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Sun Oct 07, 2018 11:42 am

72% of the item in the box are cubes
Out of the 72% cubes, 54% are blue cubes.
Total cubes = Blue cube + Red cubes.
72% = 54% + Red cubes.
72% - 54% = red cubes
red cubes = 18%
Expressing the red cubes as a percentage of the total cubes;
100% = 72
x% = 18
$$x\%\ =\ \frac{\left(18\ \cdot\ 100\right)}{72}$$
x% = 25%
Option B is CORRECT.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Sun Apr 07, 2019 5:16 pm

swerve wrote:Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

A. 18%
B. 25%
C. 46%
D. 50%
E. 54%

The OA is B.

Source: EMPOWERgmat

We can assume there are 100 balls and cubes in the box. So 72 are cubes, and 54 are blue cubes, and therefore, 72 - 54 = 18 must be red cubes. So 18/72 = 1/4 = 25% of the cubes are red.

Answer: B

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