Suresh needs to pack 144 pens, 42 pencils and 12 erasers into identical gift bags so that each item is equally distributed among the gift bags. Find the number of each item in a gift bag.

Each gift bag contains 24 pens, 7 pencils, and 2 eraser

Step-by-step explanation:

The greatest common factor of some given numbers is the greatest number that the given numbers are divisible by it

Let us use the greatest common factor to solve the question

The factors of 144 are:

1, 2, 3, 4, 6, 9, 12,16, 24, 36, 72, 144

The factors of 42 are:

1, 2, 3, 6, 7, 14, 21, 42

The factors of 12 are:

1, 2, 3, 4, 6, 12

The common factors of 144, 42, 12 are:

1, 2, 3, 6

The greatest common factor of 144, 42, 12 is 6

∵ Suresh needs to pack 144 pens, 42 pencils, and 12 erasers into

   identical gift bags

∵ Each item is equally distributed among the gift bags

→That means the number of bags must be the greatest common factor

  of 144, 42 and 12

∵ 6 is the greatest common factor of 144, 42, 12

∴ The number of bags must be 6

∵ 144 ÷ 6 = 24

∴ Each bag contains 24 pens

∵ 42 ÷ 6 = 7

∴ Each bag contains 7 pencils

∵ 12 ÷ 6 = 2

∴ Each bag contains 2 erasers

∴ Each gift bag contains 24 pens, 7 pencils, and 2 eraser

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step-by-step explanation:

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