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# Mark has 60 blue marbles, half of which are checked, 50 checked marble

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Intern
Joined: 03 Jul 2018
Posts: 36
Location: India
GMAT 1: 560 Q47 V28
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GMAT 3: 560 Q47 V28
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Mark has 60 blue marbles, half of which are checked, 50 checked marble  [#permalink]

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25 Sep 2018, 07:18
7
00:00

Difficulty:

25% (medium)

Question Stats:

80% (02:53) correct 20% (02:39) wrong based on 51 sessions

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Mark has 60 blue marbles, half of which are checked, 50 checked marbles, half of which are oval, and 40 oval marbles, half of which are blue. If 10 marbles Mark has are blue, checked, & oval, and all marbles he has either blue, checked or oval, then how many total marbles Mark has?

A 45
B 75
C 50
D 85
E 60
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Re: Mark has 60 blue marbles, half of which are checked, 50 checked marble  [#permalink]

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25 Sep 2018, 08:28
1
shard87 wrote:
Mark has 60 blue marbles, half of which are checked, 50 checked marbles, half of which are oval, and 40 oval marbles, half of which are blue. If 10 marbles Mark has are blue, checked, & oval, and all marbles he has either blue, checked or oval, then how many total marbles Mark has?

A 45
B 75
C 50
D 85
E 60

Check the solution as attached.

The black values are given information

Blue values are derived values
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Re: Mark has 60 blue marbles, half of which are checked, 50 checked marble  [#permalink]

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25 Sep 2018, 16:15
1
shard87 wrote:
Mark has 60 blue marbles, half of which are checked, 50 checked marbles, half of which are oval, and 40 oval marbles, half of which are blue. If 10 marbles Mark has are blue, checked, & oval, and all marbles he has are either blue, checked or oval, then how many total marbles Mark has?

A 45
B 75
C 50
D 85
E 60

$$? = T$$

Based on the Venn diagram presented above, let´s apply the simplifier immediately:

$$? = 60 + 40 + 50 - \left[ {\left( {20 - 10} \right) + \left( {25 - 10} \right) + \left( {30 - 10} \right)} \right] - 2 \cdot 10 = 85$$

Regards,
Fabio.
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Intern
Joined: 03 Jul 2018
Posts: 36
Location: India
GMAT 1: 560 Q47 V28
GMAT 2: 560 Q47 V28
GMAT 3: 560 Q47 V28
GMAT 4: 560 Q47 V28
GPA: 3.88
Re: Mark has 60 blue marbles, half of which are checked, 50 checked marble  [#permalink]

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30 Sep 2018, 04:48
fskilnik GMATinsight

Thank a lot for helping me out
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Re: Mark has 60 blue marbles, half of which are checked, 50 checked marble  [#permalink]

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30 Sep 2018, 08:19
shard87 wrote:
fskilnik GMATinsight

Thank a lot for helping me out

Dear shard87,

Thank you for the message and for the kudos.
See you in other posts and success in your studies!

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
Re: Mark has 60 blue marbles, half of which are checked, 50 checked marble   [#permalink] 30 Sep 2018, 08:19
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