A school has invited 42 Mathematics teachers, 56 Physics teachers and 70 Chemistry teachers to attend a Science workshop. Find the minimum number of tables required, if the same number of teachers are to sit at a table and each table is occupied by teache

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Solution

Q.
A school has invited 42 Mathematics teachers, 56 Physics teachers and 70 Chemistry teachers to attend a Science workshop. Find the minimum number of tables required, if the same number of teachers are to sit at a table and each table is occupied by teachers of the same subject.

Ans.
(12)

HCF (42, 56, 70) = 14

Minimum number of tables required $= \frac{42}{14} + \frac{56}{14} + \frac{70}{14} = 3 + 4 + 5 = 12$

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