mrs forrester collects antique quilts. she already has 15, and she purchases a new one every year. her daughter abigail collects oriental rugs. she currently owns 8 and buys 2 new ones each year. how many years will it take abigail to have as many rugs as her mother does quilts?

Answer 1

Let x be the number of years it takes for Abigail to have as many rugs as her mother has quilts.

After x years, Abigail will have purchased 2x new rugs, making her total number of rugs 8 + 2x.

After x years, Mrs. Forrester will have purchased x new quilts, making her total number of quilts 15 + x.

Setting the two totals equal to each other:

15 + x = 8 + 2x
7 = x

Therefore, it will take Abigail 7 years to have as many rugs as her mother has quilts.