2 years ago

Two weeks and 5 weeks when will they meet again

Mathematics

2 answers:

irga5000 [103]2 years ago

8 0

Seven weeks or 49 days.

arsen [322]2 years ago

4 0

Seven weeks until they meet again

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Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

$n(A)=14$

$n(B)=11$

$n(A\cup B)=20$

We know that,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=14+11-n(A\cap B)$

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Subtract both sides by 25.

$20-25=-n(A\cap B)$

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$5=n(A\cap B)$

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$n(A\cap B')=n(A)-n(A\cap B)$

$n(A\cap B')=14-5$

$n(A\cap B')=9$

Therefore, 9 people have a school certificate only.

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