Aisha and Tasha have a combined total of 30 books with Aisha having twice as many. Which proportion relates their books?

To find the correct proportion that relates Aisha and Tasha's books, we first establish their individual quantities based on the information provided. Let A represent the number of books Aisha has, and T represent the number of books Tasha has. According to the problem, Aisha has twice as many books as Tasha, leading to the relationship A = 2T. Additionally, we know that their total combined books amount to 30, which gives us the equation A + T = 30.

Substituting A = 2T into the total equation, we get 2T + T = 30, or 3T = 30, allowing us to determine that T = 10 and thus A = 20.

Now, we consider the correct proportion presented in option C: A:(T+A) = 2:3. This means that the number of books Aisha has (A) is compared to the total number of books they both have (T + A). The total number of books is 30, and with Aisha having 20 books, the ratio becomes 20:30.

When simplified, 20:30 reduces down to 2:3, which accurately represents the relationship between Aisha