The weight of a glass jar is 20% of the weight of the jar filled with

Question

The weight of a glass jar is 20% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fractional part of the beans remain in the jar?

A. 1/12
B. 1/3
C. 2/5
D. 1/2
E. 2/3

A. 1/12
B. 1/3
C. 2/5
D. 1/2
E. 2/3

stne · Answer

Let the total weight be  100

Then only Jar's weight  = 20

Coffee beans weight  = 80

After removing some coffee beans we have :

20 + r = 60   ( where  r   is the weight of the remaining beans )

r= 40

So  \frac{40}{80} =\frac{1}{2}  fraction of original amount.

Ans- D

Hope it's clear.

TestPrepUnlimited · Answer

Originally we had beans = 80% of total weight (4x jar's weight) and after removing beans we have (jar + beans) = 60% of ORIGINAL total weight (3x jar's weight) or just beans = 40% of the original total weight. Then the fraction is  \frac{40\%}{80\%} = 1/2

Ans: D

bv8562 · Answer

Weight of jar when filled with coffee beans = Weight of empty jar + Weight of Beans = w

Weight of empty jar = 0.2w

w = 0.2w + 0.8w

Original weight of Beans = 0.8w

After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight:

Weight of Jar + Remaining Beans = 0.6w
0.2w + Remaining Beans = 0.6w
Remaining Beans = 0.4w

Fraction = Remaining Beans/Original Beans = 0.4w/0.8w = 1/2 (D)

luisdicampo · Answer

Deconstructing the Question

Let the original full jar weigh  100 .

The jar alone weighs  20%  of the full jar.

We must find what fraction of the beans remain.

Step-by-step

Jar weight:

0.20 	imes 100 = 20

Beans weight initially:

100 - 20 = 80

After beans are removed, total weight becomes:

0.60 	imes 100 = 60

Jar weight unchanged:

20

Beans remaining:

60 - 20 = 40

Fraction of beans remaining:

\frac{40}{80} = \frac{1}{2}

Answer: 1/2

The weight of a glass jar is 20% of the weight of the jar filled with

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The weight of a glass jar is 20% of the weight of the jar filled with

Prep Toolkit

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