Question

Xian and his cousin kai both collect stamps. Xian has 52 stamps, and kai has 76 stamps. The boys recently joined different stamp-collecting clubs. Xian's club will send him 16 new stamps per month. Kai's club will send him 12 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

Explanation

Xian has 52 stamps and Kai has 76 stamps.

Xian's club will send him 16 new stamps per month and Kai's club will send him 12 new stamps per month.

Suppose, Xian and Kai will have the same number of stamps after $x$ months.

So, the total number of new stamps for Xian $= 16x$ and the total number of new stamps for Kai $= 12x$

So, the equation will be......

$52+16x=76+12x\\ \\ 16x-12x=76-52\\ \\ 4x= 24\\ \\ x=6$

Thus, Xian and Kai will have the same number of stamps after 6 months.

The number of stamps for each of them will be: $52+16(6)=148$