Question

Red buttons are sold in packs of 24, green buttons are sold in packs of 36
and yellow buttons are sold in packs of 60. If Rahul wants to buy the same
number of buttons in each colour, what is the smallest number of packs of
buttons of each colour that he needs to buy?​

Answer 1

10 buttons in each bins [ total 12 bins] of all three color of same numbers of buttons in each bins.

Explanation:

First find common factors of all the Three segments of numbers i.e. 60,36 and 24

Common factors

60 : 1,2,3,4,6,10,12,15,20,30,60

36 : 1,2,3,4,6,,12,36

24 : 1,2,3,4,6,,12,24

so common factor for 60.36.and 24 as below-

1,2,3,4,6,and 12

And Greatest common factor [GCF] is 12

So divide by all the segments by 12

60

12

=

5

36

12

=

3

24

12

=2

so Allyson needs 12 bins to accommodate the buttons as mentioned below :-

Purple buttons 5 Nos in each bins [

5

⋅

12

=

60

]

Black buttons 3 Nos in each bins [

3

⋅

12

=

36

]

Green buttons 2 Nos in each bins [

2

⋅

12

=

24

]

so Total 10 Numbers of buttons [

5

+

3

+

2

=

10

] in 12 numbers of bins.

hope it will help you dear ❣️