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BECE Mathematics 2012 Paper

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Question : 32

Total: 40

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?

12
14
16
$\;\;18$

Solution:

Let

x=

number of pupils who study both French and English

Let

E=

represent English

Let

F=

represent French

\;8+x+10=24

\;x+18=24

\;x=24-18

\;x=6

Number of pupils who study English

=8+x

But

x=6

Number of pupils who study English

=8+6

Number of pupils who study English = 14

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