Answer:
After how many moths will Xian and Kai have the same number of stamps?
4 months
How many will each have?
104 stamps
Explanation:
Let the number of stamps that they collect be represented by x
Xian and his cousin Kai both collect stamps.
Xian has 56 stamps . Xian's club will send him 12 stamps per month.
= 56 + 12× x
= 56 + 12x
Kai has 72 stamps. Kai's club will send him 8 stamps per month.
= 72 + 8 × x
= 72 + 8x
After how many moths will Xian and Kai have the same number of stamps?
56 + 12x = 72 + 8x
Collect like terms
12x - 8x = 72 - 56
4x = 16
x = 16/4
x = 4
Therefore, after 4 months, Xian and Kai would have the same number of stamps.
How many will each have?
x = 4
56 + 12x = 72 + 8x
56 + 12 × 4 = 72 + 8 × 4
56 + 48 = 72 + 32
104 = 104
Each of them will have 104 stamps.