Question

Aadya has 143 stamps; she gives away 11 stamps and divides the remaining equally into groups.

Sumit has 220 stamps; he gives away 11 stamps and divides the remaining equally into groups.
They end up with the same number of groups.
(a) What is the number of groups?
(b)what is the No. of stamps in each of their groups

Answer 1

a) The number of groups are 11.

b) For Aadya, there are 12 stamps in each group. For Sumit, there are 19 stamps per group.

Explanation:

Aadya: 143 - 11 = 132 stamps.

Sumit: 220 - 11 = 209 stamps.

Greatest Common Factor of 132 and 209 = 11 group for both

Aadya: Let a = # of stamps in each group.; 11a = 132; a = 12 stamps per group

Sumit: Let s = # of stamps in each group.; 11s = 209; s = 19 stamps per group.