Question

Xian and his cousin kai both collect stamps. xian has 56 stamps, and kai has 80 stamps. the boys recently joined different stamp-collecting clubs. xian's club will send him 12 new stamps per month. kai's club will send him 8 new stamps per month. after how many months will xian and kai have the same number of stamps? how many stamps will each have

Answer 1

After 6 months.
Difference in their original number of stamps: 80-56=24
Difference in the number of stamps they receive each month: 12-8=4
Number of months to have same number of stamps: 24/4=6

They will each have 6x12+56=128 stamps

Answer 2

We can solve this problem by setting up an equation. In the beginning, Xian and Kai has got respectively 56 and 80 stamps. Let's denote the number of the month, when they will have the same amount of cards with an x. Then after x months, Xian and Kai will respectively have 56 + 12x and 80 + 8x cards.

By setting up an equation, we can write that:

56 + 12x = 80 + 8x

4x = 24

x = 6

The correct answer is after six months they will have the same amount of cards. After 6 months, Xian and Kai will each have 128 cards.