Question

Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.

He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?

Answer 1

The largest number of bundles he could create without any left over is 5.

Each bundle to contain 4 pencils, 16 pens and 11 markers

Explanation:

Pencils = 20

Pens = 80

Markers = 55

a) What is the largest number of bundles he could create without any left over?

Find the highest common multiple of 20, 80 and 55

20 = 1, 2, 4, 5, 10, 20

80 = 1, 2, 4, 5, 8, 10, 16, 20......

55 = 1, 5, 11, 55

The highest common multiple of 20, 80 and 50 is 5

Pencils = 20 / 5

= 4

Pens = 80 / 5

= 16

Markers = 55 / 5

= 11

The largest number of bundles he could create without any left over is 5.

Each bundle to contain 4 pencils, 16 pens and 11 markers