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Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 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?
After
months Xian and his cousin will have
stamps each.

Respuesta :

alts45712

Answer:

Step-by-step explanation:

Let the x be the number of months.

In x months, xian will have:

                       (52+16x) stamps

and kai will have:

                     (76+12x)stamps

To find out how many months they will have the same number of stamps, we evaluate the two expressions:

52+16x=76+12x

52+4x=76

4x=24

x=6

So xian and kai will have the same number of stamps after 6 months.

Using either of two expressions, each will have:

52+16(6)=76+12(6)= 148 stamps.

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Answer:

6 months

Step-by-step explanation:

56+ 12x = 80 + 8x

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