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A baby has x total toys. If 9 of the toys are stuffed animal [#permalink]
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?

Re: A baby has x total toys. If 9 of the toys are stuffed animal [#permalink]
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
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