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

[Brent@GMATPrepNow]

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@GMATPrepNow]

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

[fskilnik@GMATH]

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.

[Scott@TargetTestPrep]

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