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grigory [225]
3 years ago
6

Find the number of students who like both peanut butter and jam. *

Mathematics
1 answer:
netineya [11]3 years ago
6 0

Answer:

4 students

Step-by-step explanation:

As shown in the diagram, let U=[The total number of students questioned]

\implies n(U) = 10

A=[Those who liked peanut butter ]

\implies n(A) =18

B=[Those who liked jam ]

\implies n(B) = 10

x = those who like both peanut butter and jam.

Also 6 liked neither peanut butter nor jam.

From the diagram we can write the mathematical equation as follow and solve for x

30 = 18 - x + x + 10 - x + 6

\implies 30 = 34- x

We add x and subtract 30 to both sides.

\implies 30 - 30 + x = 34- x + x - 30

\implies x = 4

Therefore 4 students like both peanut butter and jam.

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