Xian and his cousin Kai both collect stamps. Xian has 56 stamps and Kai has 72. The boys recently joined different stamp collecting clubs. Xian's club will send him 12 stamps per month. Kai's club will send him 8 stamps per month. After how many moths will Xian and Kai have the same number of stamps? How many will each have?

After how many moths will Xian and Kai have the same number of stamps?

4 months

How many will each have?

104 stamps

Step-by-step 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.

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step-by-step explanation: