Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio : Problem Solving (PS)

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Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio

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Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio [#permalink]

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08 Mar 2019, 01:47

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Difficulty:

25% (medium)

Question Stats:

77% (01:10) correct

23% (01:19) wrong

based on 31 sessions

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Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portion. What fraction of the pizza was not eaten?

A. 3/5
B. 11/20
C. 9/20
D. 2/5
E. 3/20

Spoiler: OA

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Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio [#permalink]

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Updated on: 08 Mar 2019, 02:35

Tom ate 1/4. Remaining is 3/4
Jane ate 1/5 of 3/4, i.e, 1/5*3/4 = 3/20.
Eaten is 3/20+1/4 = 8/20
Remaining is 12/20 = 3/5
A is the answer.
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Originally posted by Chethan92 on 08 Mar 2019, 01:54.
Last edited by Chethan92 on 08 Mar 2019, 02:35, edited 1 time in total.

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Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio [#permalink]

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08 Mar 2019, 02:31

IMO A

Let Pizza be 100

Tom = 25
Jane = (75/5) = 15

Total eaten = 40

Not eaten % = 60/100

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Re: Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio [#permalink]

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08 Mar 2019, 02:34

The Answer is 'A' i.e. 3/5

Tom ate 1/4 = 25%
Jane ate 1/5 of the remaining 75% = 15%

So, The total Tom and Jane ate is 40%

Remaining is 60% = 60/100 = 3/5.

You can solve this either by percentage or by fractions, whatever you feel comfortable in.

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Re: Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio [#permalink]

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08 Mar 2019, 02:36

Chethan92 wrote:

Tom ate 1/4. Remaining is 3/4
Jane ate 1/5 of 3/4, i.e, 1/5*3/4 = 3/20.
Remaining is 17/20.

Bunuel sir, are the options correct?

Hi Chethan,
The problem with your solution is the subtraction part.

Tom ate 1/4, Jane ate 3/20, till here it is correct. So the total pizza eaten is 1/4+3/20 = 8/20

The portion of pizza remaining = 1-(8/20) = 12/20 = 3/5

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Re: Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portio [#permalink]

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08 Mar 2019, 04:00

Bunuel wrote:

Tom ate 1/4 of a whole pizza, and Jane ate 1/5 of the remaining portion. What fraction of the pizza was not eaten?

A. 3/5
B. 11/20
C. 9/20
D. 2/5
E. 3/20

total = 20
tom ate = 5
left 15
jane ate 3
left 12
12/20 = 3/5
IMO A