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 club 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

To solve this you need two separate equations for Xian and Kai. Let's say x represents the number of months.

Xian's equation would be: 12x + 56

Kai's equation would be: 8x + 80

To find out when they'll have the same number of stamps, all you need to do is set both equations equal to each other, then solve. So:

12x + 56 = 8x +80 (subtract 8x from both sides)

4x + 56 = 80 (subtract 56 from both sides)

4x = 24 (divide both sides by 4)

x = 6 They will have the same number of stamps after 6 months.

Now that you have that, you plug in the 6 into either one of the separate equations to find out how many stamps they will both have.

Plugging it into Xian's equation: 12(6) + 56 = 72 + 56 = 128

Plugging it into Kai's equation: 8(6) + 80 = 48 + 80 = 128

So both Kai and Xian will have 128 stamps after 6 months.

yes

step-by-step explanation:

yes