In a barrel full of apples, 45% of the apples weigh more

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

In a barrel full of apples, 45% of the apples weigh more

by Brent@GMATPrepNow » Wed Jan 16, 2019 3:44 pm

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In a barrel full of apples, 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams. What percent of the apples in the barrel weigh more than 81 grams but less than 145 grams?
A) 16
B) 18
C) 26
D) 32
E) 36

Answer: C
Difficulty level: 600 - 650
Source: www.gmatprepnow.com

Brent Hanneson - Creator of GMATPrepNow.com

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Source: Beat The GMAT — Problem Solving | Wed Jan 16, 2019 3:44 pm

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Fri Jan 18, 2019 11:12 am

Brent@GMATPrepNow wrote:In a barrel full of apples, 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams. What percent of the apples in the barrel weigh more than 81 grams but less than 145 grams?
A) 16
B) 18
C) 26
D) 32
E) 36

No takers?

Let's say there are 100 apples in the barrel.

45% of the apples weigh MORE THAN 81 grams
This means 55% of the apples weigh LESS THAN OR EQUAL to 81 grams
In other words, 55 apples weigh LESS THAN OR EQUAL to 81 grams

81% of the apples weigh LESS THAN 145 grams
This means 19% of the apples weigh MORE THAN OR EQUAL to 145 grams
In other words, 19 apples weigh MORE THAN OR EQUAL to 145 grams

To summarize, we have:
....55 apples....81 grams.............145 grams... 19 apples...

55 + 19 = 74
We've now accounted for 74 apples, which means the remaining 26 apples must be BETWEEN 81 grams and 145 grams.

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pm; Thanked: 59 times; Followed by:33 members

In a barrel full of apples, 45% of the apples weigh more tha

by fskilnik@GMATH » Fri Jan 18, 2019 1:42 pm

Brent@GMATPrepNow wrote:In a barrel full of apples, 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams. What percent of the apples in the barrel weigh more than 81 grams but less than 145 grams?
A) 16
B) 18
C) 26
D) 32
E) 36
Source: www.gmatprepnow.com

$$? = x$$
$$100 = 45 + 81 - x\,\,\,\,\left[ {{\rm{simplifier}}} \right]\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,? = x = 26$$

We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Mon Jan 21, 2019 5:43 pm

Brent@GMATPrepNow wrote:In a barrel full of apples, 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams. What percent of the apples in the barrel weigh more than 81 grams but less than 145 grams?
A) 16
B) 18
C) 26
D) 32
E) 36

Since 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams, 45 + 81 - 100 = 26 percent weigh between 81 and 145 grams.

Answer: C

Scott Woodbury-Stewart
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