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A baby has x total toys. If 9 of the toys are stuffed animal

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
A baby has x total toys. If 9 of the toys are stuffed animal [#permalink] New post 05 Aug 2018, 14:31
Expert's post
00:00

Question Stats:

71% (00:58) correct 28% (01:51) wrong based on 7 sessions
A baby has x total toys. If 9 of the toys are stuffed animals, 7 of the toys were given to the baby by her grandmother, 5 of the toys are stuffed animals given to the baby by her grandmother, and 6 of the toys are neither stuffed animals nor given to the baby by her grandmother, what is the value of x?

[Reveal] Spoiler: OA
17

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: A baby has x total toys. If 9 of the toys are stuffed animal [#permalink] New post 07 Aug 2018, 16:55
Expert's post
Explanation

Use the overlapping sets formula for two groups: Total = Group 1 + Group 2 – Both + Neither.

Here, the groups are “stuffed animal” and “given by the baby’s grandmother.” The problem indicates that the “both” category is equal to 5 and that the “neither” number is 6. The total is x.

Total = Group 1 + Group 2 – Both + Neither
x = 9 + 7 – 5 + 6
x = 17
_________________

Sandy
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Re: A baby has x total toys. If 9 of the toys are stuffed animal   [#permalink] 07 Aug 2018, 16:55
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A baby has x total toys. If 9 of the toys are stuffed animal

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