Xian and his cousin Kai both collect stamps. Xian has 60 stamps, and Kai has 68 stamps. The boys recently joined different stamp-collecting clubs. Xian's club will send him 20 new stamps per month. Kai's club will send him 16 new stamps per month. After how many months will Xian and Kai have the same number of stamps? How many stamps will each have? After

months Xian and his cousin will have

stamps each.

2 months, and 100 stamps.

Step-by-step explanation:

xian: y=60+20x,

y os the total dollars, x is the months... I put 60+20x because he gets 20 stamps every month plus his original amount of stamps.

Kai: y=68+16x

where 16x is his 16 stamps per month.

Since both equation equals to y, we know that they have the same amount in x months.

60+20x=68+16x

Solve.

60-60+20x=68-60+16x

20x=8+16x

20x-16x=8+16x-16x

4x=8

4x/4=8/4

x=2

Since we already know they need 2 months, we need to find how many stamps they have (they are the same）so solve for y.(you could solve anyone, xian or kai... but I am going to do xian.)

y=60+20(2)

y=60+40

y=100 so they both have 100 after 2 months.

the answer is 13 cm