Question

5. (a) There are 160 apples and 224 mangoes in a bag. i. ii. What is the greatest number of children to distribute these apples and mangoes equally? How many fruits of each kind will each child get?​

Answer 1

Hello !

You find the GCD of 160 : 224

160

= 2 x 80

= 2 x 2 x 40

= 2 x 2 x 2 x 20

= 2 x 2 x 2 x 2 x 10

= 2 x 2 x 2 x 2 x 2 x 5

224

= 2 x 112

= 2 x 2 x 56

= 2 x 2 x 2 x 28

= 2 x 2 x 2 x 2 x 14

= 2 x 2 x 2 x 2 x 2 x 7

GDC = 2 x 2 x 2 x 2 x 2 = 32

=> 32 childrens

160/32 = 5

224/32 = 7

=> 5 apples and 7 mangoes per child