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 cllub 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

They both will have 128 stamps in 6 months.
Equation- 56+12x= 80+8x
solution x=6 (in 6 months they will have same stamps)
plug 6 into both equations to figure out how many stamps.
56+12*6=128 (xians equation)
80 +8*6= 128 (kais equation)
Hope this helped!